Lacy is given a kite with one diagonal. To prove △ ADB ≅△ CDB, she wants to verify that corresponding pairs of sides and corresponding pairs of angles are congruent using just one rigid transformation. Which of the following transformations would accomplish this task? a.) A reflection of △CDB about diagonal BD¯. b.) A 180° rotation of △ CDB about point  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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Lacy is given a kite with one diagonal.

To prove △ ADB ≅△ CDB, she wants to verify that corresponding pairs of sides and corresponding pairs of angles are congruent using just one rigid transformation.

Which of the following transformations would accomplish this task?

a.) A reflection of △CDB about diagonal BD¯.

b.) A 180° rotation of △ CDB about point  C.
 
c.) A translation of △CDB  until point C from △CDB maps to point A from △ADB.
 
d.) A dilation of △CDB about point B until ∠B in both triangles are congruent.
B
А
C
D
Transcribed Image Text:B А C D
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