Question

Given: AF cong CE, BE parallel FD and AB parallel CD. Prove: ABCD is a parallelogram. Step Statement Reason 1 AF cong CE BE parallel FD AB parallel CD Given angle AEB cong angle CFD Select a Reason...

          Given: AF cong CE, BE parallel FD and AB parallel CD.
Prove: ABCD is a parallelogram.
Step
Statement
Reason
1
AF cong CE
BE parallel FD
AB parallel CD
Given
angle AEB cong angle CFD
Select a Reason...

Added by Xavier F.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Matthew Wagner

03/25/2023

Step 1

We are given that $AF \neq CE$, $BE \neq FD$, and $AB \parallel CD$. Show more…

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Given: AF = CE, BE = FD, and AB || CD Prove: ABCD is a parallelogram. Proof: Statement 1: AF = CE (Given) Statement 2: BE = FD (Given) Statement 3: AB || CD (Given) Statement 4: LAEB ~ ZCFD (Alternate Interior Angles Theorem) Statement 5: ABCD is a parallelogram (Definition of a parallelogram)