2. A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other. a. How do you think you can prove the two triangles are congruent without using rigid transformations? b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?

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
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2. A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent,
but you don't know the rigid transformations that map one triangle to the other.
a. How do you think you can prove the two triangles are congruent without using rigid transformations?
b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of
corresponding parts congruent. How would you respond to this classmate?
Transcribed Image Text:2. A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other. a. How do you think you can prove the two triangles are congruent without using rigid transformations? b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?
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