Which of these will prove the 10th step and the reason ? GivenZCGE LAHFAE - FCEF EFReflexive Property3Type of StatementXY WZParallel lines cut by a transversal4anglesZX LYAASAXYZ ATUVCorresponding Parts of Congruent(СРСТC)6.XY WZXY 1WZCongruent segments added to congsegmentsClassify a triangleABCD is a parallelogram becausepairs of opposite sides congruent8.Classify a quadrilateral6.Opposite sides of a parallelogram anZX and ZY arecomplementary/supplementaryParallel lines cut by a transversal forangles10ZX is a right angleXY bisects XXY bisects WZXY WZ (or 2W Z)FmZX = m/Y (or 2m/Y)EAH.Note: 4C BCand. TD. Fill in the missing statement and reason of the proof below.Given: AB CD, AD || BC, BG HD, LCGE LAHF andAE FC.Prove: ZBAE ZDCF.StepStatementReasonAB CDAD | BCBG = HDGivenZCGE LAHEAE FCEF EFReflexive Property3Type of StatementParallel lines cut by a transversal form congruent alternate interiorangles4ZGCE ZH AFAGCE AH AFAASCorresponding Parts of Congruent Triangles are Congruent(СРСТС)GC - HACongruent segments added to congruent segments form congruentsegmentsBC = ADABCD is a parallelogram because it is a quadrilateral with twopairs of opposite sides congruent8.ABCD is a parallelogramAB CDOpposite sides of a parallelogram are parallelParallel lines cut by a transversal form congruent alternate interiorangles10ZBAE ZDCFBAD.Note: AC, BC and AD are seguments.Submit Answerattempt i out of 2Privacy Policy Terms of ServiceMooRoolc Ain

Given : To find : The statement 3 and give the reason.

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Which of these will prove the 10th step and the reason ?

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 of these will prove the 10th step and the reason ?

Given
ZCGE LAHF
AE - FC
EF EF
Reflexive Property
3
Type of Statement
XY WZ
Parallel lines cut by a transversal
4
angles
ZX LY
AAS
AXYZ ATUV
Corresponding Parts of Congruent
(СРСТC)
6.
XY WZ
XY 1WZ
Congruent segments added to cong
segments
Classify a triangle
ABCD is a parallelogram because
pairs of opposite sides congruent
8.
Classify a quadrilateral
6.
Opposite sides of a parallelogram an
ZX and ZY are
complementary/supplementary
Parallel lines cut by a transversal for
angles
10
ZX is a right angle
XY bisects X
XY bisects WZ
XY WZ (or 2W Z)
F
mZX = m/Y (or 2m/Y)
E
A
H.
Note: 4C BCand. TD.

Fill in the missing statement and reason of the proof below.
Given: AB CD, AD || BC, BG HD, LCGE LAHF and
AE FC.
Prove: ZBAE ZDCF.
Step
Statement
Reason
AB CD
AD | BC
BG = HD
Given
ZCGE LAHE
AE FC
EF EF
Reflexive Property
3
Type of Statement
Parallel lines cut by a transversal form congruent alternate interior
angles
4
ZGCE ZH AF
AGCE AH AF
AAS
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
GC - HA
Congruent segments added to congruent segments form congruent
segments
BC = AD
ABCD is a parallelogram because it is a quadrilateral with two
pairs of opposite sides congruent
8.
ABCD is a parallelogram
AB CD
Opposite sides of a parallelogram are parallel
Parallel lines cut by a transversal form congruent alternate interior
angles
10
ZBAE ZDCF
B
A
D.
Note: AC, BC and AD are seguments.
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