Triangles POR and XYZ are congruent, as shown. Which sequence of transformations proves that triangle PQR is congruent to triangle XYZ using congruence criteria ASA? A. Translate POR so that Raligns with Z, and then reflect the result across PQ. B. Reflect PQR across a horizontal line through R, and then translate the image so Raligns with Z. C Reflect POR across a vertical line through R, and then translate the image so PQ aligns with XY. D. Translate POR so that Paligns with X, and then reflect the result across a horizontal line through the image of R. E. Rotate PQR by 180° counterclockwise around the point R, and then translate so that the image of P aligns with X.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Triangles POR and XYZ are congruent, as shown.
Which sequence of transformations proves that triangle PQR is congruent to triangle XYZ using congruence criteria ASA?
A. Translate POR so that Raligns with Z, and then reflect the result across PQ.
B. Reflect POR across a horizontal line through R, and then translate the image so Raligns with Z.
C. Reflect PQR across a vertical line through R, and then translate the image so PQ aligns with XY.
O D. Translate POR so that P aligns with X, and then reflect the result across a horizontal line through the image of R.
E. Rotate POR by 180° counterclockwise around the point R, and then translate so that the image of P aligns with X.
O O O
Transcribed Image Text:O 100% O 2 良区 Triangles POR and XYZ are congruent, as shown. Which sequence of transformations proves that triangle PQR is congruent to triangle XYZ using congruence criteria ASA? A. Translate POR so that Raligns with Z, and then reflect the result across PQ. B. Reflect POR across a horizontal line through R, and then translate the image so Raligns with Z. C. Reflect PQR across a vertical line through R, and then translate the image so PQ aligns with XY. O D. Translate POR so that P aligns with X, and then reflect the result across a horizontal line through the image of R. E. Rotate POR by 180° counterclockwise around the point R, and then translate so that the image of P aligns with X. O O O
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