Tme lollowing iIs an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent: D According to the given information, AB I| Dc and BC || AD Construct a diagonal from A to C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD. as well as sides BC and DA, are congruent. Angles BCA and DAC are congruent by the Alternate Interior Angles Theorem. Triangles BCA and DAC are congruent according to the

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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Tme lollowing iIs an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
D
According to the given information, AB I| Dc and BC || AD Construct a diagonal from A to C with a straightedge. It is congruent to itself by the Reflexive Property of
Equality.
Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD. as well as sides BC and DA, are congruent.
Angles BCA and DAC are congruent by the Alternate Interior Angles Theorem. Triangles BCA and DAC are congruent according to the
Transcribed Image Text:Tme lollowing iIs an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent: D According to the given information, AB I| Dc and BC || AD Construct a diagonal from A to C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD. as well as sides BC and DA, are congruent. Angles BCA and DAC are congruent by the Alternate Interior Angles Theorem. Triangles BCA and DAC are congruent according to the
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