A figure is shown.Select the conditions, which alone, guarantee that figure ABCD is a parallelogram.AB || DC and BC || ADBD 1 ACBD and AC bisect each otherBE EC and AE EDZBAD LBCD and LABC ZADCAB CD and BC ADB.

Name: A figure is shown.Select the conditions, which alone, guarantee that
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Description: A figure is shown.Select the conditions, which alone, guarantee that figure ABCD is a parallelogram.AB || DC and BC || ADBD 1 ACBD and AC bisect each otherBE EC and AE EDZBAD LBCD and LABC ZADCAB CD and BC ADB.

Answered: A figure is shown. Select the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: The Rectangular Coordinate System And Graphs

Problem 8ECP

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A figure is shown.
Select the conditions, which alone, guarantee that figure ABCD is a parallelogram.
AB || DC and BC || AD
BD 1 AC
BD and AC bisect each other
BE EC and AE ED
ZBAD LBCD and LABC ZADC
AB CD and BC AD
B.

Expert Solution

Step 1

The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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BD and AC bisect each other.

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