Marcus is wanting to prove that parallelogram ABCD is a square. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a square? Why or why not. Explain your reasoning in complete sentences.

Marcus is wanting to prove that parallelogram ABCD is a square. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a square? Why or why not. Explain your reasoning in complete sentences.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.4: The Pythagorean Theorem

Problem 38E: When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and...

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Question

Marcus is wanting to prove that
parallelogram ABCD is a square. He
shows that opposite sides are
congruent and opposite sides are
parallel. Can he conclude ABCD is a
square? Why or why not. Explain
your reasoning in complete
sentences.

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