Open screen shot pls Consider AABC and ADEF, both of which lie in the xy-coordinate plane. The pre-image, AABC, is rotated 180° aboutthe point (0, 2) to obtain the image, ADEF. Julio concludes that both of these triangles are congruent.FDEBABased on Julio's conclusion, which of the following pairs of angles or pairs of sides of the triangles must be congruent?Select all that apply.O ZA ZFZC ZDZB ZEAB 2 DFAC E DFBC = EF

Name: Open screen shot pls Consider AABC and ADEF, both of which lie in the
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Description: Open screen shot pls Consider AABC and ADEF, both of which lie in the xy-coordinate plane. The pre-image, AABC, is rotated 180° aboutthe point (0, 2) to obtain the image, ADEF. Julio concludes that both of these triangles are congruent.FDEBABased on

Answered: F D E A C

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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Open screen shot pls

Consider AABC and ADEF, both of which lie in the xy-coordinate plane. The pre-image, AABC, is rotated 180° about
the point (0, 2) to obtain the image, ADEF. Julio concludes that both of these triangles are congruent.
F
D
E
B
A
Based on Julio's conclusion, which of the following pairs of angles or pairs of sides of the triangles must be congruent?
Select all that apply.
O ZA ZF
ZC ZD
ZB ZE
AB 2 DF
AC E DF
BC = EF

Expert Solution

Step 1

As we get $△ D E F$ by rotating $△ A B C$ about the point (0,2) in $180 °$ , both the triangles are congruent.

We get the corresponding vertices as

$B - E C - F A - D$

So the corresponding angles are

$∠ B ≅ ∠ E ∠ C ≅ ∠ F ∠ A ≅ ∠ D$

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