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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 Justification AB CD, DA I BC Definition of a parallelogram CDA /DCE ZDAB LADF Alemate interior angles theorem LABCa ZCDA; ZBCD a DAB Transitive property of congruence B. E. OVertical angles theorem BCD~/DAA mAllemate interior angles theorem 主

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 Justification AB CD, DA I BC Definition of a parallelogram CDA /DCE ZDAB LADF Alemate interior angles theorem LABCa ZCDA; ZBCD a DAB Transitive property of congruence B. E. OVertical angles theorem BCD~/DAA mAllemate interior angles theorem 主

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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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 Justification AB CD, DA I BC Definition of a parallelogram CDA /DCE ZDAB LADF Alemate interior angles theorem LABCa ZCDA; ZBCD a DAB Transitive property of congruence B. E. OVertical angles theorem BCD~/DAA mAllemate interior angles theorem 主
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 Justification AB CD, DA I BC Definition of a parallelogram CDA /DCE ZDAB LADF Alemate interior angles theorem LABCa ZCDA; ZBCD a DAB Transitive property of congruence B. E. OVertical angles theorem BCD~/DAA mAllemate interior angles theorem 主
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