Johnny is wanting to prove that parallelogram ABCD is a rectangle. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a rectangle? 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
Section5.2: Similar Polygons
Problem 8E: Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude...
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Johnny is wanting to prove that
parallelogram ABCD is a rectangle.
He shows that opposite sides are
congruent and opposite sides are
parallel. Can he conclude ABCD is a
rectangle? Why or why not. Explain
your reasoning in complete
sentences.
Transcribed Image Text:Johnny is wanting to prove that parallelogram ABCD is a rectangle. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a rectangle? Why or why not. Explain your reasoning in complete sentences.
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