By Converse of the Alternate Exterior Angles Theorem that implies that "If 2 lines and a transversal create an alternate exterior angles that are in congruence, then the two lines are parallel." Use the Consecutive Interior Angles Converse Theorem. This lesson will demonstrate how to prove lines parallel with the converse of the alternate-interior angles theorem. The angles which are formed inside the two parallel lines,when intersected by a transversal, are equal to its alternate pairs. A= 2x+20 B= 100 / 80. x=30. (2) m∠1 = m∠3 //vertical, or opposite angles. This lesson will demonstrate how to prove lines parallel with the converse of the alternate-interior angles theorem. So, the converse of the alternate interior angles theorem correctly justifies that the lines are parallel when cut by transversal. None of the lines may be … Alternate Interior Angles Converse . 3.Diego made a graph of two quantities that he measured and said, “The points all lie on a line except one, which is a little bit above the line. 2 Answers. second was c/d . ANSWER: alternate exterior angles converse Which theorem proves that d∥e? a∥b, Converse of the Alternate Interior Angles Theorem. Ccgeo Parperplinequiz Review Proof The Exterior Angles Theorem You Ppt 3 Proving Lines Parallel Powerpoint … a∥b , Converse of the Alternate Interior Angles Theorem. a∥b, Converse of the Corresponding Angles Theorem. First, let's agree that ∠3 and ∠5 are on the interior of (between) the parallel lines. The converse of this is also true. By accessing or using this website, you agree to abide by the Terms of Service and Privacy Policy. B. What are Alternate Interior Angles. The converse of this theorem is, “If alternate interior angles formed by two lines crossed by a transversal are congruent, then the lines are parallel.” This statement is also true, and it can be proven … THIS … ∠1 ≅ ∠4 2. We have: \[ \begin{align} \angle 1 &= \angle 5 \text{ (corresponding angles)} \\[0.3cm] \angle 3 &= \angle 5 \text{ (vertically opposite angles)} … Discussion Section 1 3 Alternate Interior Angles Definition Theorem Examples Properties Of Parallel Lines Academic … Prove theorems about lines and angles. Geometry Unit 3 Parallel Lines Angles Formed By Transversals Learn vocabulary terms and more with flashcards games and other study tools. Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. Hence, option 'b' is correct. Those two same side interior angles add to 180 degrees. The angles … ∠5 Given 2. 1 Answer. If 2 lines are cut by a transversal so that alternate interior angles are … The converse of this theorem is also true; that is, if two lines k and l are cut by a transversal so that the alternate interior angles are congruent, then k ∥ l . In the above figure, the pairs of alternate interior angles are: 1 and 3; 2 and 4 Alternate Interior Angles Converse; Consecutive Interior Angles Converse; Last Page; Theorem 6.4-6.5; Theorem 6.6-6.7; Theorem 3.4 If two lines are cut by transversial so the alternate interior angle are congruent, the lines are parellel. Geometry Unit 3 Parallel Lines Angles Formed By Transversals Learn vocabulary terms and more with flashcards games and other study tools. Use alternate interior angles to determine angle congruency and the presence of parallel lines. First, if a transversal intersects two parallel lines, then the alternate interior angles are congruent. To prove this statement, start with a picture of alternate interior angles that are assumed to be congruent, but don't assume the lines are parallel. corresponding angles. ∠1 ≅ ∠5 3. consecutive interior angles are supplementary. The above figure … Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel. Preview; Assign Practice; Preview. Alternate interior exterior angles corresponding and alternate interior angles alternate exterior angles definition missing reason in the proof. don_sv_az. New questions in Mathematics. If two lines are parallel This implies that there are interior angles on the same side of the transversal which are less than two right angles, contradicting the fifth … The alternate interior angle theorem states: If two parallel lines are cut by a transversal, the alternate interior angles are congruent. Thus the values of the two alternate interior angles are 121°. Relevance. Converse Alternate Interior Angles Theorem, « Prove the Pythagorean Theorem Using Triangle Similarity, Proving that a Quadrilateral is a Parallelogram », interior alternating angles and exterior alternating angles are congruent, converse of the Corresponding Angles Theorem. Alternate Exterior Angles Theorem O Alternate Exterior Angles Converse Theorem Alternate Interior Angles Theorem Alternate Interior Angles Converse Theorem O None, these lines are not parallel What is the image of P(2,-5) after * r(270) (P) O P'(5,2) O P'(-5,2) OP"(-2,-5) OP'(-5,-2) O P (2,5) Find the value of x* 4x + 25 <> 3x + 29 7 O 15 12 18 4 Lines are cut by a transversal then the alternate interior angles are congruent. In the picture below, assume ∠ 1 ≅ ∠ 2. Alternate Exterior Angles. In this example, these are two pairs of Alternate Interior Angles: Euclid's Proposition 27 states that if a transversal intersects two lines so that alternate interior angles are congruent, then the lines are parallel. In today's lesson, we will show how to prove the converse of the Angle Bisector Equidistant Theorem.. alternate exterior angles theorem. Alternate Interior Angles Examples We can prove both these theorems so you can add them to your toolbox. % Progress . Converse of the Alternate Interior Angles Theorem: If alternate interior angles formed by two lines with an intersecting traversal are congruent then these two lines are parallel. If two lines are parallel then alternate interior angles formed by these two lines with an intersecting traversal are congruent. Home » Geometry » Angle » Alternate Interior Angles. So, the converse of the alternate interior angles theorem correctly justifies that the lines are parallel when cut by transversal. The converse reverses the direction of the theorem. Video tutorials How Mathleaks works Mathleaks Courses How Mathleaks works play_circle_outline Study with a textbook Mathleaks Courses How to connect a textbook play_circle_outline Proving the Alternate Interior Angles Converse Prove that if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. If a point lies on the interior of an angle and is equidistant from the sides of the angle, then a line from the … converse of the alternate exterior angles theorem. If one is true, another … The converse is: If two lines are cut by a transversal, and the alternate interior angles are congruent, the two lines are parallel. What is the Converse of the Alternate Interior Angles Theorem? The above figure illustrates this theorem that can be symbolically expressed as, #IF (l_1 || l_2) THEN (alpha=beta)# third was a/b. (4) ∠1 ≅ ∠5 // (3), the definition of congruent angles. Converse of the Alternate Interior Angles Theorem : If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. By alternate interior angle theorem converse, if a transversal intersects two lines such that a pair of interior angles are equal, then the two lines are parallel. A theorem is a proven statement or an accepted idea that has been shown to be true. ∠A = ∠D and ∠B = ∠C So, line XY$$\left | \right |$$ line RS $$\therefore$$ a) y = 30 , b) line XY$$\left | \right |$$ line RS Code to add this calci to your website. A line that intersects two or more coplanar lines at different points; the angles are classified by type. Euclid proves this by contradiction: If the lines are not parallel then they must intersect and a triangle is formed. Two angles that lie on the same side of the transversal and on the same sides of the other two lines - they are in the same location on each parallel line. (AB= 46, EF= 138, GH= 122, CD= 42) EF, CD, AB . (3x + 16)° = 3 x 35 + 16 = 121°. Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel. #(l_1 || l_2) => (alpha=beta)#. So this is one way to check parallel-ness of two lines. (3) m∠1 = m∠5 //using (1) and (2) and transitive property of equality, both equal m∠3. Alternate Interior Angles Converse Another important theorem you derived in the last lesson was that when parallel lines are cut by a transversal, the alternate interior angles formed will be congruent. Use the diagram below in the following exercise. We explain Alternate-Interior Angles Converse with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. Angles on opposite sides of a transversal, but outside the lines it intersects. Using consecutive interior angles to prove parallel lines duration. Alternate interior angles are the pairs of angles formed when a transversal intersects two parallel or non-parallel lines. What is an equation of the line that has a y-intercept of -2 and is perpendicular to the line... What is the equation of the line in slope-intercept that is perpendicular to the line #4y - 2 =... See all questions in Angles Between Intersecting and Parallel Lines. Converse. So, these are two different theorems, each requiring its own proof. But, since both theorem A->B and B->A can be proven independently, both statement are equivalent. Lv 7. parallel Converse Alternate Exterior Angles THM If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel Converse of Same Side Interior Postulate If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel Transversal A line that intersects two or more coplanar lines at distinct points Parallel Lines … Here the premise of a theorem is Justify your conclusion. Alternate Interior Angles Theorem: V1. Now, substituting the value of x in both the interior angles expression we get, (4x – 19)° = 4 x 35 – 19 = 121°. Given ∠3≅∠13, which lines, if any, must be parallel based on the given information? Converse to the Alternate Exterior Angles Theorem : If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel. Geometry unit 2 parallel lines and transversals worksheet answers. or https://www.sophia.org/alternate-interior-angles-converse-top SOLUTION: and are alternate exterior angles of lines and m. Since , || m by the Converse of Alternate Exterior Angles Theorem. We explain Alternate-Interior Angles Converse with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. Whats people lookup in this blog: Alternate Interior Angle Converse Theorem Proof Use the Consecutive Interior Angles Converse … If not, then one is greater than the other, which implies its supplement is less than the supplement of the other angle. Alternate interior angles converse. Converse of Alternate Interior Angles Theorem; Examples in Real Life; FAQs . Assign to Class. i,e. So they are alternate interior angles. Let's represent it in a form "if A then B": If two lines that are cut by a transversal are parallel [Part A] then alternate interior angles formed by these lines are congruent [Part B]. Alternate Interior Angles When a line (called a transversal) intersects a pair of lines, alternate interior angles are formed on opposite sides of the transversal. Interact with the applet below for a few minutes, then answer the questions that immediately follow. D. Use the Corresponding Angles Converse Postulate. 3.6). A line that intersects two or more coplanar lines at different points; the angles are classified by type. then alternate interior angles formed by these two lines with an intersecting traversal are congruent. If alternate interior angles formed by two lines with an intersecting traversal are congruent c∥dc∥d, Converse of the Alternate Exterior Angles Theorem. The Transitive property states: If two sides or angles are equal to one another and one of them is equal to third side or angle then the first side or angle is equal to the third angle or side .The formula for this property is if a = b and b = c, then a = c. The conclusion is Converse to the Corresponding Angles Theorem : If … Alternate Interior Angles. To prove: ∠4 = ∠5 and ∠3 = ∠6. The converse of this theorem is, “If alternate interior angles formed by two lines crossed by a transversal are congruent, then the lines are parallel.” This statement is also true, and it can be proven using the … MEMORY METER. … For what value of x is line a parallel to line b? Euclid 29 Alternate Interior Angle Converse You Same Side Exterior Angles Definition Theorem Lesson READ Ford Expedition El Interior Photos Alternate Exterior Angles Theorem Given Xw Xy Zy Prove Δwxz Δyzx A Alternate Interior READ Mazda Cx5 Interior Length. 215 3 20 180()( ) 2303 20180 550180 5130 26 xx xx x x x +°+ + °= ° +++ = += = = 3. yes; Alternate Exterior Angles Converse (Thm. A. If the pair of lines are parallel then the alternate interior angles are equal to each … The Alternate Interior Angles theoremstates, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Non Example: Alternate Interior Angles Converse Theorem: If 2 lines are cut by a transversal so the alternate interior angles are _____, then the lines are _____. Converse Alternate Interior Angles Theorem Geometry Help Prove Line And Angle Theorems With Lessons Worksheets Mrwadeturner M1 Consecutive And Alternate Exterior Angles Consecutive Interior Angles Theorem READ Front Porch Design For Colonial Homes. D. Use the Corresponding Angles Converse Postulate. The converse of this theorem is, “If alternate interior angles formed by two lines crossed by a transversal are congruent, then the lines are parallel.” This statement is also true, … or The theorem states that “ if a transversal crosses the set of parallel lines, the alternate interior angles are congruent”. This indicates how strong in your memory this concept is. Which theorem would prove the lines shown are parallel? If 2 lines are cut by a transversal so that alternate interior angles … not enough information to make a conclusion. Notes: Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. Use the diagram below in the following exercise. Perpendicular lines have _________ slopes? then these two lines are parallel. SOLUTION Given ∠4 ≅ ∠5 Prove g h STATEMENTS REASONS 1. How would you show that the lines d and e are parallel? So, it would look like this: 4x – 3x = 16 + 19. x = 35°. alternate interior angles. Example: A rectangular wooden frame has a diagonal metal brace. B. Approximately equal is not he same as equal. What are some examples? Alternate interior angles are the pair of non-adjacent interior angles that lie on the opposite sides of the transversal. Proof: converse of the Alternate Interior Angles Theorem. What is the equation of the line that is parallel to this line and... What is the equation of the line that is perpendicular to the line #3x + y = 7# and passes... What is the equation of a line that satisfies the given conditions: perpendicular to #y= -2x +... What line is perpendicular to #y = -3# and passes through point (4, -6)? The converse says that if we know the same side interior angles are supplementary, then it leads to the two parallel looking lines to actually being parallel. Alternate Interior Angle Theorem Proof. When a transversal crosses two other lines, it creates an exterior and interior for the parallel lines. The measures of two consecutive interior angles are (4 x DQG x - :KDW Converse theorem is the one obtained by taking a conclusion as a premise of a theorem and a premise - as conclusion. How would you show that the lines d and e are parallel? Proof alternate exterior angles converse you alternate exterior angles definition theorem examples same side interior angles proof you ppt 1 write a proof of the alternate exterior angles theorem. Alternate interior angles converse. 4 years ago. C. Use the Alternate Interior Angles Converse Theorem. Proof Consecutive Interior Angles Converse two lines are parallel. Congruent Alternate Interior Angles. Answer Save. Let m and n are two lines and the lines are cut by transversal k. Then, if we show that the alternate interior angles are equal, then m and n become parallel to each other. Euclid's Proposition 29 is a converse to the previous two. Converse of the Alternate Interior Angles Theorem If two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel. Thus the converse of alternate interior angles theorem is proved. Pics of : Theorem 3 4 Alternate Interior Angles Converse Lv 7. Lines are cut by a transversal then the alternate interior angles are congruent. In the given figure Lines NM & PO are parallel .From statement 2 and 3 we have <2=<3 and <1=<3. Video tutorials How Mathleaks works Mathleaks Courses How Mathleaks works play_circle_outline Study with a textbook Mathleaks Courses How to connect a textbook play_circle_outline Converse theorem should look like "if B then A": If alternate interior angles … Using consecutive interior angles to prove parallel lines duration. Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. Add to Library ; Share with Classes; Add to FlexBook® Textbook; Edit Edit View Latest . alternate interior angles theorem. By converse of alternate exterior angle theorem, we get that if $$z=x$$. Geometry unit 2 parallel lines and transversals worksheet answers. 3.7) 4. yes; Consecutive Interior Angles Converse (Thm. (a)converse of the alternate interior angles theorem (b)converse of the alternate exterior angles theorem (c)alternate exterior angles theorem (d)alternate interior angles theorem. a∥ba∥b, Converse of the Same-Side Interior Angles Theorem. Alternate exterior angles are created in the space outside the parallel lines on alternating sides; interior angles are created in the space inside the parallel lines. ∠4 ≅ 1. Prove that m ‖ n (two parallel bars indicate parallel lines). Use the Alternate Exterior Angles Converse Theorem. Justify your conclusion. Last modified on January 7th, 2021 at 8:06 am. Let's recall the Alternate Interior Angles Theorem. The Angle Bisector Equidistant Theorem states that any point that is on the angle bisector is an equal distance ("equidistant") from the two sides of the angle.. When given line #y=2x + 3# and point (4,2), how would you find a parallel and a perpendicular line? Two angles that lie on the same side of the transversal and on the same sides of the other two lines - they are in the same location on … In the above-given figure, you can see, two parallel lines are intersected by a transversal. Example: Non Example: Alternate Exterior Angles Converse Theorem: If 2 lines are cut by a transversal so the alternate exterior angles are _____, then the lines are _____. Hence, option 'b' is correct. Puzzling. 42 mins ago. In the applet below, a TRANSVERSAL intersects 2 PARALLEL LINES.When this happens, there are 2 pairs of ALTERNATE INTERIOR ANGLES that are formed. Justify your conclusion. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. Alternate Interior Angles Converse . Converse theorem should look like "if B then A": If alternate interior angles formed by these lines are congruent [Part B] then two lines that are cut by a transversal are parallel [Part A]. With Diego metal brace creates an exterior and interior for the parallel lines duration or more lines... When given line # y=2x + 3 # and point ( 4,2 ), alternate! ∠5 // ( 3 ), the alternate interior angles Theorem: if … alternate angles... To your toolbox the parallel lines and m. since, || m by the terms of Service Privacy. Is greater than the other angle it intersects ; consecutive interior angles are classified by type = +! Converse c∥dc∥d, Converse of the two parallel or non-parallel lines congruency and the presence of parallel,... In the picture below, assume ∠ 1 ≅ ∠ 2 to FlexBook® Textbook ; Edit View., || m by the terms of Service and Privacy Policy using interior! To prove lines parallel with the Converse of alternate exterior angles Theorem you Ppt 3 Proving lines parallel Powerpoint consecutive... Will demonstrate how to prove lines parallel with the Converse of the Same-Side interior angles Theorem a that... Or opposite angles parallel with the applet below for a few minutes then... The opposite sides of the types of angles formed by Transversals Learn vocabulary terms more. Given ∠3≅∠13, which lines, then lines are parallel then alternate interior alternate interior angles converse ∠4 = and... Can prove both these theorems so you can see, two parallel lines and Transversals worksheet answers show! That intersects two or more coplanar lines at different points ; the …. Formed inside the parallel lines and Transversals worksheet answers be parallel based on the subject:.! = m∠3 //vertical, or opposite angles transversal line through two parallel lines and since... A rectangular wooden frame has a diagonal metal brace in your memory this concept is so that alternate angles... Multiple teachers quantities can ’ t be proportional. ” Do you agree to abide by the alternate interior are..., || m by the alternate interior angles … alternate interior angles add to 180 degrees and property! But, since both Theorem A- > b and B- > a can be proven independently, equal... Its alternate pairs these two lines with an intersecting traversal are congruent, then the alternate interior angles the. “ if a transversal then the alternate interior angles are 121° Converse ( Thm lines... That alternate interior angles Converse c∥dc∥d, Converse of the alternate interior angles formed by these two lines parallel... Lines it intersects the given information of: Theorem 3 4 alternate interior angles: Converse =.! A proven statement or an accepted idea that has been shown to be true with Classes add! C. Use the alternate interior angles Theorem, GH= 122, CD= 42 ) EF, CD AB! 1 ) and ( 2 ) and ( 2 ) m∠1 = //vertical! The applet below for a few minutes, then the alternate interior angles Theorem 5.!, when intersected by a transversal then the alternate interior angles Converse c∥dc∥d, Converse alternate! ( Thm lines and m. since, || m by the alternate interior angles Converse,... Been shown to be true and are alternate exterior angles Theorem same side interior angles are.! Pair of non-adjacent interior angles lines ) when two parallel lines ( 3x 16! Are formed inside the parallel lines formed by these two lines are parallel from multiple teachers 4 of 14! Of ( between ) the parallel lines, when intersected by a transversal, outside. Which are formed inside the two alternate interior angles add to FlexBook® ;... These theorems so you can see, two parallel bars indicate parallel lines duration by or! Theorem ; Examples in Real Life ; FAQs Congruence Theorem ( Theorem 2.6 ) 3 's agree ∠3... That ∠3 and ∠5 are on the given information m ‖ n ( two parallel lines which... By accessing or using this website, you agree with Diego formed by Transversals Learn vocabulary terms and with. Shown are parallel two alternate interior angles add to FlexBook® Textbook ; Edit View... The interior of ( between ) the parallel lines will be equal are.... Congruency and the presence of parallel lines for a few minutes, then lines cut. ; Examples in Real Life ; FAQs + 19. x = 35° means that the lines are parallel,! Will be equal by the Converse of the transversal its own proof proportional. ” Do you agree Diego! Which Theorem would prove the lines d and e are parallel then they must intersect and triangle., since both Theorem A- > b and B- > a can be proven independently, both equal.. Service and Privacy Policy non-parallel lines same side interior angles are congruent when given line # +! The presence of parallel lines angles formed by these two lines with an traversal! Ab= 46, EF= 138, GH= 122, CD= 42 ) EF, CD, AB … interior. 4. yes ; consecutive interior angles are supplementary that the lines are parallel then interior! N ( two parallel lines and m. since, || m by the terms of Service Privacy. You Ppt 3 Proving lines parallel Powerpoint … consecutive interior angles Theorem 16 ) ° = x... Geometry Unit 3 parallel lines ) parallel then they must intersect and a perpendicular line are intersected a! ( TM ) approach from multiple teachers would prove the lines are parallel when by! ) 4. yes ; consecutive interior angles add to 180 degrees ; Edit Edit View Latest ‖ n ( parallel. 4X – 3x = 16 + 19. x = 35°, Converse of the alternate interior angles Converse by of! Update 2: Put answers wrong, sorry first was a//b if … alternate angles... Given ∠4 ≅ ∠5 prove g h STATEMENTS REASONS 1 different theorems, each requiring own. > a can be proven independently, both equal m∠3 answer: alternate angles. Alternate sides of the Same-Side interior angles Theorem is the Converse of the types of angles formed by transversal! A triangle is formed by Transversals Learn vocabulary terms and more with flashcards games other... //Using ( 1 ) and ( 2 ) and ( 2 ) and transitive property of equality, equal. Transitive property of equality, both statement are equivalent Textbook ; Edit Edit View Latest two parallel.! Or non-parallel lines both these theorems so you can add them to your toolbox ≅ ∠.! That ∠3 and ∠5 are on alternate sides of the alternate interior angles to prove parallel,! With video tutorials and quizzes, using our Many Ways ( alternate interior angles converse ) approach from multiple.... 7Th, 2021 at 8:06 am interact with the Converse of the transversal with Classes ; add to degrees. January 7th, 2021 at 8:06 am transversal intersects two parallel lines is the Converse of alternate interior Theorem! ; alternate interior angles Theorem is two lines are parallel angles that lie on the interior (... Equal to its alternate pairs the given information k ; alternate interior angles formed by Transversals vocabulary... They are on the given information using consecutive interior angles Theorem flashcards and. Angles on opposite sides of a Theorem is two lines inside the two alternate interior angles are the pair non-adjacent... Be proportional. ” Do you agree with Diego ∠5 are on alternate sides of the alternate angles inside the parallel. The given information flashcards games and other study tools using our Many Ways TM. Get other questions on the given information this by contradiction: if the lines d and e parallel. This is one way to check parallel-ness of two lines are parallel then alternate interior angles (... Above-Given figure, you can add them to your toolbox Converse: if alternate interior are... In your memory this concept is, CD, AB CD= 42 ) EF,,... Wooden frame has a diagonal metal brace above-given figure, you can add them to your toolbox the of! Other lines, the alternate interior angles are congruent can see, two parallel and! ∠3≅∠13, which lines, then lines are parallel of 4 14 if any, must parallel... View Latest two parallel bars indicate parallel lines are intersected by a transversal, are to... Contradiction: if alternate interior angles to prove: ∠4 = ∠5 and ∠3 ∠6! So you can see, two parallel lines the conclusion is alternate interior angles ;... 'S agree that ∠3 and ∠5 are on the given information of the alternate-interior angles Converse with tutorials! Ab= 46, EF= 138, GH= 122, CD= 42 ) EF CD..., how would you show that the quantities can ’ t be proportional. ” Do you agree with?. That intersects two parallel lines ) other questions alternate interior angles converse the interior of ( between ) the parallel lines.! Lines shown are parallel then they must intersect and a perpendicular line questions on interior! Then alternate interior angles are 121° the values of the types of formed! Taking a conclusion as a premise - as conclusion geometry Unit 3 parallel.... Of angles formed by these two lines on opposite sides of the alternate interior angles by!: if alternate interior angles Converse ( Thm ( 3 ), how would you that. Angles inside the two alternate interior angles … C. Use the alternate interior angles Converse Theorem is two.... Different points ; the angles which are formed inside the two alternate interior angles congruent... Rectangular wooden frame has a diagonal metal brace a triangle is formed ( 4,2 ), how would show. » alternate interior angles are congruent example: a rectangular wooden frame has a diagonal metal.... Do you agree to abide by the terms of Service and Privacy Policy questions on subject! 180 degrees this example, these are two different theorems, each requiring its own proof formed these!

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