Given: ABCD is a parallelogram and AABC S ADCB. Prove: AB 1 BC.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
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Given: ABCD is a parallelogram and AABC = ADCB.
Prove: AB 1 BC.
Reason
Statement
Step
ABCD is a parallelogram
Given
1
AABC = ADCB
Type of Statement
ABCD is a rectangle because it is a parallelogram with congruent
diagonals
3
ABCD is a rectangle
ZABC is a right angle
The interior angles of a rectangle are right angles
4
If two intersecting lines form a right angle, the lines are
perpendicular
AB I BC
В
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Transcribed Image Text:Hômé | Schoology Webex LINK for CLAŠS MEE Login i deltamath.com/student/solve/12993350/quadProofsOneMissingStep tudents.springisd.org Bookmarks Given: ABCD is a parallelogram and AABC = ADCB. Prove: AB 1 BC. Reason Statement Step ABCD is a parallelogram Given 1 AABC = ADCB Type of Statement ABCD is a rectangle because it is a parallelogram with congruent diagonals 3 ABCD is a rectangle ZABC is a right angle The interior angles of a rectangle are right angles 4 If two intersecting lines form a right angle, the lines are perpendicular AB I BC В A MacBook Air 80 888 F1 F2 F3 F4 F5 F6 E7 F8 @ 23 2$ * 2 3 4 7 8. W 云 < CO
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