Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the same size as angles P, Q, and R, respectively. Sides AB and BC are also the same length as PQ and QR, respectively. Is this enough evidence to conclude that the quadrilaterals ABCD and PQRS are congruent? Explain why or why not.

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
Section4.1: Properties Of A Parallelogram
Problem 39E
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Measurements are made on quadrilaterals ABCD and PQRS, and we find that
angles A, B, and C are the same size as angles P, Q, and R, respectively. Sides
AB and BC are also the same length as PQ and QR, respectively.
Is this enough evidence to conclude that the quadrilaterals ABCD and PQRS are congruent?
Explain why or why not.
Transcribed Image Text:Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the same size as angles P, Q, and R, respectively. Sides AB and BC are also the same length as PQ and QR, respectively. Is this enough evidence to conclude that the quadrilaterals ABCD and PQRS are congruent? Explain why or why not.
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