The following is a proof showing that if a quadrilateral is a parallelogram, both pairs of opposite angles must be congruent. However, the second statement is missing. Complete the proof by selecting both the appropriate statement and its justification from among the options listed below. Given: A quadrilateral is a parallelogram Prove: The opposite angles of the quadrilateral are congruent AB CD: DA | BC Definition of a paralelogram /CDA /DCE, ZDABZADF Alternate interior angles theorem KABC /CDA, ZBCD ZDAB Transitive property of congruence B. 0ZABC N ODA; ZBCD DAR O Alternate interior angles theorem OVertical angles theorem ZABC ZCDA; ZBCD N ZADF சனச O Corresponding angles theorem

The following is a proof showing that if a quadrilateral is a parallelogram, both pairs of opposite angles must be congruent. However, the second statement is missing. Complete the proof by selecting both the appropriate statement and its justification from among the options listed below. Given: A quadrilateral is a parallelogram Prove: The opposite angles of the quadrilateral are congruent AB CD: DA | BC Definition of a paralelogram /CDA /DCE, ZDABZADF Alternate interior angles theorem KABC /CDA, ZBCD ZDAB Transitive property of congruence B. 0ZABC N ODA; ZBCD DAR O Alternate interior angles theorem OVertical angles theorem ZABC ZCDA; ZBCD N ZADF சனச O Corresponding angles theorem

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.3: Proving Lines Parallel

Problem 18E: In Exercises 17 and 18, complete each proof by filling in the missing statements and reasons. Given:...

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