The following graph shows the preimage, AABC. You can rotate AABC clockwise to get AA'B'C", Finally, you can translate AA'B'C' down to become AA" B"C". B. 2 -8 -6 -4 -2 0 -2 -6 -8 © 2019 StrongMind. Created using GeoGebra. 1. AABC was transformed using two rigid transformations. a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results. b. Explain why the results are true.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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The following graph shows the preimage, AABC. You can rotate AABC
clockwise to get AA B'C", Finally, you can translate AA'B'C" down to
become AA" B"C".
8.
6
4
2
-8
-6
-4
-2 0
2
8
-2·
-4
-6
-8-
© 2019 StrongMind. Created using GeoGebra.
1. AABC was transformed using two rigid transformations.
a. Compare all of the corresponding parts (angles and sides) of the
image and preimage. Describe the results.
b. Explain why the results are true.
2. When two triangles are congruent to each other, each triangle has six
parts (three angles and three sides) that are congruent to those six
parts of the other triangle. This can be proven using rigid
transformations. But suppose you don't know the rigid transformations
that map one triangle to another.
a. How can you prove the two triangles are congruent without using
rigid transformations?
b. Will you need to show that all of the parts of one triangle are
congruent to all of the parts of the other triangle to prove they are
congruent? Explain.
Note: Be sure to number your responses for each question, like this: 1a,
1b, 2a, 2b.
Transcribed Image Text:The following graph shows the preimage, AABC. You can rotate AABC clockwise to get AA B'C", Finally, you can translate AA'B'C" down to become AA" B"C". 8. 6 4 2 -8 -6 -4 -2 0 2 8 -2· -4 -6 -8- © 2019 StrongMind. Created using GeoGebra. 1. AABC was transformed using two rigid transformations. a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results. b. Explain why the results are true. 2. When two triangles are congruent to each other, each triangle has six parts (three angles and three sides) that are congruent to those six parts of the other triangle. This can be proven using rigid transformations. But suppose you don't know the rigid transformations that map one triangle to another. a. How can you prove the two triangles are congruent without using rigid transformations? b. Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain. Note: Be sure to number your responses for each question, like this: 1a, 1b, 2a, 2b.
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