Ddo not necessarily have corresponding parallel sides3 of 54. An altitude is drawn inside an equilateral triangle creating two smaller triangles. Which of the following rigidmotion transformations would prove that the two smaller triangles are congruent?A Reflect one of the smaller triangles about the altitude line.B. Reflect one of the smaller triangles about the base of the equilateral triangle.C. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the vertex it bisects.D. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the base of theequilateral triangle.5. Consider the figure to the right.Given: 21 is complementary to 222 is complementary to 23.Prove: 1 a 3Part AComplete the proof. Write the appropriate options from the list to correctly complete the proof.A mz1+ m2F definition of angle measurementsBm21 + m/3definition of complementaryGanglesC mL2+mLaH complementary angles arecongruentDdefinition of congruent anglesEsubtraction property of equality1. 21 is complementary to 2 and 2 is complementary to 43 because this is glvenInformation.2. m21+ mz2 - 90° and mL2 + m23 - 90° because of the5p23. m21 +m/2-Sp3because of thesubstitution property of equality.4. m21 -mL3 because of the5p45. 21 = 23 because of the.5p55 Part BThe proof in Part A establishes which of the following theorems?A Angles that are complementary to each other are congruent.B. Angles that are complementary to the same angle are congruent.C. Angles that are complementary to adjacent angles are congruent.D. Angles that are complementary to congruent angles are congruent.6. In the diagram, m || n and t is a transversal through m and n.Part AProve: 43 a 26.Select the appropriate statements and reasons from the list andenter them into the empty boxes to correctly complete the proof.A 22 L3B 41D When parallel lines are cut by a transversal, alternate exterior anglesare congruent.When parallel lines are cut by a transversal, corresponding anglesEare congruent.F When two angles are congruent toru ng, e wo gusara cononient to each othar

Answered: Image /qna-images/answer/bed7036c-d250-45b7-9998-04e631e85882.jpg

4. An altitude is drawn inside an equilateral triangle creating two smaller triangles. Which of the following rigid motion transformations would prove that the two smaller triangles are congruent? A Reflect one of the smaller triangles about the altitude line. B. Reflect one of the smaller triangles about the base of the equilateral triangle. C. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the vertex it bisects. D. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the base of the equilateral triangle.

4. An altitude is drawn inside an equilateral triangle creating two smaller triangles. Which of the following rigid motion transformations would prove that the two smaller triangles are congruent? A Reflect one of the smaller triangles about the altitude line. B. Reflect one of the smaller triangles about the base of the equilateral triangle. C. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the vertex it bisects. D. Rotate one of the smaller triangles 180 about the point of intersection of the altitude and the base of the equilateral triangle.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.CT: Test

Problem 15CT: In the figure, we see that mRS-=mVT-=0. Find the equation that relates r,s,andt if it is known that...

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In the figure, we see that mRS-=mVT-=0. Find the equation that relates r,s,andt if it is known that RSTV is a parallelogram. _