Step Statement Reason ABCD is a parallelogram AF FD Given ZFDA LEBC ZFAD E ZFDA In a triangle, angles opposite of congruent sides are congruent AD BC Opposite sides of a parallelogram are parallel ZFAD ZECB Parallel lines cut by a transversal form congruent alternate interior angles Type of Statement BE EC In a triangle, sides opposite of congruent angles are congruent

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.CT: Test
Problem 18CT: Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU...
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Which of those will prove the 6th step and its reason ?
AF FD
Given
1
ZFDA LEBC
ZFAD ZFDA
In a triangle, angles opposite of com
AD || BC
Opposite sides of a parallelogram a
3
ZFAD LECB
Parallel lines cut by a transversal fo
4
angles
Type of Statement
6.
XY WZ
In a triangle, sides opposite of congri
ZX ZY
AXYZ ATUV
XY WZ
E
XY 1WZ
Classify a triangle
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
ZX is a right angle
gment AC is a straight segment.
XY bisects X
You XY bisects W Z
ove in order to submit.
XY =WZ (or 2W Z)
mZX = m/Y (or 2mZY)
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Transcribed Image Text:AF FD Given 1 ZFDA LEBC ZFAD ZFDA In a triangle, angles opposite of com AD || BC Opposite sides of a parallelogram a 3 ZFAD LECB Parallel lines cut by a transversal fo 4 angles Type of Statement 6. XY WZ In a triangle, sides opposite of congri ZX ZY AXYZ ATUV XY WZ E XY 1WZ Classify a triangle Classify a quadrilateral ZX and ZY are complementary/supplementary ZX is a right angle gment AC is a straight segment. XY bisects X You XY bisects W Z ove in order to submit. XY =WZ (or 2W Z) mZX = m/Y (or 2mZY) Privacy Policy Terms of Servic Copyright © 2021 DeltaMath.com. All Righi
Fill in the missing statement and reason of the proof below.
Given: ABCD is a parallelogram, AF FD and ZFDA ZEBC.
Prove: BE EC.
Step
Statement
Reason
ABCD is a parallelogram
1.
AF FD
Given
ZFDA LEBC
ZFAD E ZFDA
In a triangle, angles opposite of congruent sides are congruent
3
AD BC
Opposite sides of a parallelogram are parallel
ZFAD ZECB
Parallel lines cut by a transversal form congruent alternate interior
angles
4
Type of Statement
6.
BE EC
In a triangle, sides opposite of congruent angles are congruent
B
C
E
F
Note: the segment AC is a straight segment.
You must answer all questions above in order to submit.
attempt 1 out of 2
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Copyright © 2021 DeltaMath.com. All Rights Reserved.
Transcribed Image Text:Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, AF FD and ZFDA ZEBC. Prove: BE EC. Step Statement Reason ABCD is a parallelogram 1. AF FD Given ZFDA LEBC ZFAD E ZFDA In a triangle, angles opposite of congruent sides are congruent 3 AD BC Opposite sides of a parallelogram are parallel ZFAD ZECB Parallel lines cut by a transversal form congruent alternate interior angles 4 Type of Statement 6. BE EC In a triangle, sides opposite of congruent angles are congruent B C E F Note: the segment AC is a straight segment. You must answer all questions above in order to submit. attempt 1 out of 2 Privacy Policy Terms of Service Copyright © 2021 DeltaMath.com. All Rights Reserved.
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