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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, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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D do not necessarily have corresponding parallel sides 3 of 5 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. 5. Consider the figure to the right. Given: 21 is complementary to 2 22 is complementary to 23. Prove: 1 a 3 Part A Complete the proof. Write the appropriate options from the list to correctly complete the proof. A mz1+ m2 F definition of angle measurements B m21 + m/3 definition of complementary G angles C mL2+mLa H complementary angles are congruent D definition of congruent angles E subtraction property of equality 1. 21 is complementary to 2 and 2 is complementary to 43 because this is glven Information. 2. m21+ mz2 - 90° and mL2 + m23 - 90° because of the 5p2 3. m21 +m/2- Sp3 because of the substitution property of equality. 4. m21 -mL3 because of the 5p4 5. 21 = 23 because of the. 5p5 5 Part B The 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 A Prove: 43 a 26. Select the appropriate statements and reasons from the list and enter them into the empty boxes to correctly complete the proof. A 22 L3 B 41 D When parallel lines are cut by a transversal, alternate exterior angles are congruent. When parallel lines are cut by a transversal, corresponding angles E are congruent. F When two angles are congruent toru ng, e wo gus ara cononient to each othar
Transcribed Image Text:D do not necessarily have corresponding parallel sides 3 of 5 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. 5. Consider the figure to the right. Given: 21 is complementary to 2 22 is complementary to 23. Prove: 1 a 3 Part A Complete the proof. Write the appropriate options from the list to correctly complete the proof. A mz1+ m2 F definition of angle measurements B m21 + m/3 definition of complementary G angles C mL2+mLa H complementary angles are congruent D definition of congruent angles E subtraction property of equality 1. 21 is complementary to 2 and 2 is complementary to 43 because this is glven Information. 2. m21+ mz2 - 90° and mL2 + m23 - 90° because of the 5p2 3. m21 +m/2- Sp3 because of the substitution property of equality. 4. m21 -mL3 because of the 5p4 5. 21 = 23 because of the. 5p5 5 Part B The 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 A Prove: 43 a 26. Select the appropriate statements and reasons from the list and enter them into the empty boxes to correctly complete the proof. A 22 L3 B 41 D When parallel lines are cut by a transversal, alternate exterior angles are congruent. When parallel lines are cut by a transversal, corresponding angles E are congruent. F When two angles are congruent toru ng, e wo gus ara cononient to each othar
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