What is the statement and reason for the 2nd step to 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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What is the statement and reason for the 2nd step to prove the 7th step ?
Fill in the missing statement and reason of the proof below.
Given: ABCD is a parallelogram and ZF ZE.
Prove: AFABE AECD.
Step
Statement
Reason
ABCD is a parallelogram
Given
ZF LE
2
Type of Statement
ZBAD 2 ZBCD
Opposite angles of a parallelogram are congruent
3
4
ZFAB and ZBAD are supplementary If two angles form a linear pair, then they are supplementary
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 LECD
AFAB AECD
AAS
B
E
Note: BE andFD are segments.
Submit Answer
attempt 2 out of 2
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Transcribed Image Text:Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram and ZF ZE. Prove: AFABE AECD. Step Statement Reason ABCD is a parallelogram Given ZF LE 2 Type of Statement ZBAD 2 ZBCD Opposite angles of a parallelogram are congruent 3 4 ZFAB and ZBAD are supplementary If two angles form a linear pair, then they are supplementary 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 LECD AFAB AECD AAS B E Note: BE andFD are segments. Submit Answer attempt 2 out of 2 Privacy Policy Terms of Service Copyright © 2021 DeltaMath.com. All Rights Reserved.
Given
ZF LE
Type of Statement
XY WZ
Opposite angles of
a p
4
If two angles form a li
ZX 스 ZY
If two angles form a lin
ΔXΥZ 쓴 ΔTUV
If two angles are suppl.
angles), then they are c
6.
XY | WZ
7
XY 1WZ
AAS
Classify a triangle
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
ZX is a right angle
XY bisects X
XY bisects WZ
XY = WZ (or 2W Z)
m/X = mZY (or 2mZY)
BE and FD are segments.
Submit O
Transcribed Image Text:Given ZF LE Type of Statement XY WZ Opposite angles of a p 4 If two angles form a li ZX 스 ZY If two angles form a lin ΔXΥZ 쓴 ΔTUV If two angles are suppl. angles), then they are c 6. XY | WZ 7 XY 1WZ AAS Classify a triangle Classify a quadrilateral ZX and ZY are complementary/supplementary ZX is a right angle XY bisects X XY bisects WZ XY = WZ (or 2W Z) m/X = mZY (or 2mZY) BE and FD are segments. Submit O
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