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

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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