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Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to using the . Therefore, ABC D is a parallelogram because opposite prove by the SSS Congruence Postulate. Using CPCTC, The same can be done for given information and the shared side BD. This will lead to angles are congruent.

Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to using the . Therefore, ABC D is a parallelogram because opposite prove by the SSS Congruence Postulate. Using CPCTC, The same can be done for given information and the shared side BD. This will lead to angles are congruent.

Elementary Geometry For College Students, 7e
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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Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove given information and the shared side BD. This will lead to angles are congruent. by the SSS Congruence Postulate. Using CPCTC, The same can be done for using the Therefore, ABC D is a parallelogram because opposite
Transcribed Image Text:Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a parallelogram, by showing that the opposite angles are congruent. Plan: Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove given information and the shared side BD. This will lead to angles are congruent. by the SSS Congruence Postulate. Using CPCTC, The same can be done for using the Therefore, ABC D is a parallelogram because opposite
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