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.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 27E: In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-,...
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d37e41e-51b4-45b2-89ed-c05dc8e02ffe%2F8f306aed-880c-4758-9b79-22d7852f39ba%2Fwxxnglp.jpeg&w=3840&q=75)
Transcribed Image Text: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
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