Which one will help prove the 7th step ? Fill in the missing statement and reason of the proof below.Given: ABCD is a parallelogram and ZF 2 ZE.Prove: AFAB AECD.StepStatementReasonABCD is a parallelogramGivenZF ZEType of Statement3ZBAD ZBCDOpposite angles of a parallelogram are congruentZFAB and ZBAD are supplementaryIf two angles form a linear pair, then they are supplementary4ZECD and ZBCD are supplementary If two angles form a linear pair, then they are supplementaryIf two angles are supplements of the same angle (or congruentangles), then they are congruent6.ZFAB E ZECD7.AFAB AECDAASCEDNote: BE and FD are segments.You must answer all questions above in order to submit.attempt 1 out of 2Privacy Policy Terms of ServiceCopyright 20021 DeltaMath.com. All Rights Reserved. StepStatementReasonABCD is a parallelogram1GivenZF = ZE2Type of Statement3.XY WZOpposite angles of aparall4If two angles form a linearZX ZY5.If two angles form a linearAXYZ ATUVIf two angles are supplemeangles), then they are cong6.XY || WZ7.XY 1WZAASClassify a triangleClassify a quadrilateralZX and ZY arecomplementary/supplementary2X is a right angleXY bisects 4XXY bisects WZXY =WZ (or 2W Z)%3Dm/X = mZY (or 2mZY)BE and FD are segments.

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Which one will help prove the 7th step ?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.2: Indirect Proof

Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...

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Question

Which one will help prove the 7th step ?

Fill in the missing statement and reason of the proof below.
Given: ABCD is a parallelogram and ZF 2 ZE.
Prove: AFAB AECD.
Step
Statement
Reason
ABCD is a parallelogram
Given
ZF ZE
Type of Statement
3
ZBAD ZBCD
Opposite angles of a parallelogram are congruent
ZFAB and ZBAD are supplementary
If two angles form a linear pair, then they are supplementary
4
ZECD and ZBCD are supplementary If two angles form a linear pair, then they are supplementary
If two angles are supplements of the same angle (or congruent
angles), then they are congruent
6.
ZFAB E ZECD
7.
AFAB AECD
AAS
C
E
D
Note: BE and FD are segments.
You must answer all questions above in order to submit.
attempt 1 out of 2
Privacy Policy Terms of Service
Copyright 20021 DeltaMath.com. All Rights Reserved.

Step
Statement
Reason
ABCD is a parallelogram
1
Given
ZF = ZE
2
Type of Statement
3.
XY WZ
Opposite angles of a
parall
4
If two angles form a linear
ZX ZY
5.
If two angles form a linear
AXYZ ATUV
If two angles are suppleme
angles), then they are cong
6.
XY || WZ
7.
XY 1WZ
AAS
Classify a triangle
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
2X is a right angle
XY bisects 4X
XY bisects WZ
XY =WZ (or 2W Z)
%3D
m/X = mZY (or 2mZY)
BE and FD are segments.

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