In A ABC andA DEF shown below, ZA ZD and ZB ZE.CAWhich series of transformations can be used to show that A ABC- A DEF?O A. First, translate A ABC to map point A onto point D. Next, rotate A ABC to show thatZA ZD. Finally, dilate A ABC to show ZB ZE.O B. First, translate A ABC to map point A onto point E. Next, rotate A ABC to show thatZA ZE. Then, translate A ABC to map point B onto point D. Finally, rotate A ABC toshow that ZB ZD.O C. First, reflect A ABC across a vertical line through point C. Next, translate A ABC to map pointC onto point E. Finally, dilate A ABC to show that LC ZE and ZB LF.O D. There is not enough information given to show that A ABC-A DEF.

Given data: The first given condition is ∠A ≅ ∠D. The second given condition is ∠B ≅ ∠E. There are a…

Answered: In A ABC and A DEF shown bolow, ZA ZD…

Math

Geometry

In A ABC and A DEF shown bolow, ZA ZD and ZB LE. 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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

In A ABC andA DEF shown below, ZA ZD and ZB ZE.
C
A
Which series of transformations can be used to show that A ABC- A DEF?
O A. First, translate A ABC to map point A onto point D. Next, rotate A ABC to show that
ZA ZD. Finally, dilate A ABC to show ZB ZE.
O B. First, translate A ABC to map point A onto point E. Next, rotate A ABC to show that
ZA ZE. Then, translate A ABC to map point B onto point D. Finally, rotate A ABC to
show that ZB ZD.
O C. First, reflect A ABC across a vertical line through point C. Next, translate A ABC to map point
C onto point E. Finally, dilate A ABC to show that LC ZE and ZB LF.
O D. There is not enough information given to show that A ABC-A DEF.

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