Fill in the missing statement and reason of the proof below. Given: ABCD is a rhombus and AE BE. Prove: ABCD is a square. Step Statement Reason ABCD is a rhombus Given AE BE AC and BD bisect each other The diagonals of a rhombus bisect each other When a segment is bisected, the whole segment is twice the length of each part AC = 2AE Type of Statement AC BD Segments that are twice the lengths of congruent segments are congruent ABCD is a square ABCD is a square because it is a rhombus with congruent diagonals A E B Note: AC and BD are segments. 1. 2. 4.
Fill in the missing statement and reason of the proof below. Given: ABCD is a rhombus and AE BE. Prove: ABCD is a square. Step Statement Reason ABCD is a rhombus Given AE BE AC and BD bisect each other The diagonals of a rhombus bisect each other When a segment is bisected, the whole segment is twice the length of each part AC = 2AE Type of Statement AC BD Segments that are twice the lengths of congruent segments are congruent ABCD is a square ABCD is a square because it is a rhombus with congruent diagonals A E B Note: AC and BD are segments. 1. 2. 4.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Which one will help prove the 6th step?
![solve/12993350/quadProofsOneMissingStep
Fill in the missing statement and reason of the proof below.
Given: ABCD is a rhombus and AE BE.
Prove: ABCD is a square.
Step
Statement
Reason
ABCD is a rhombus
Given
AE BE
AC and BD bisect each other
The diagonals of a rhombus bisect each other
When a segment is bisected, the whole segment is twice the length
of each part
3
AC = 2AE
4
Type of Statement
AC BD
Segments that are twice the lengths of congruent segments are
congruent
ABCD is a square because it is a rhombus with congruent
diagonals
ABCD is a square
E
C
Note: AC and BD are segments.
You must answer all questions above in order to submit.
attempt i out of 2
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Transcribed Image Text:solve/12993350/quadProofsOneMissingStep
Fill in the missing statement and reason of the proof below.
Given: ABCD is a rhombus and AE BE.
Prove: ABCD is a square.
Step
Statement
Reason
ABCD is a rhombus
Given
AE BE
AC and BD bisect each other
The diagonals of a rhombus bisect each other
When a segment is bisected, the whole segment is twice the length
of each part
3
AC = 2AE
4
Type of Statement
AC BD
Segments that are twice the lengths of congruent segments are
congruent
ABCD is a square because it is a rhombus with congruent
diagonals
ABCD is a square
E
C
Note: AC and BD are segments.
You must answer all questions above in order to submit.
attempt i out of 2
Privacy Policy Terms of Service
![Step
Statement
Reason
ABCD is a rhombus
Given
1
AE BE
AC and BD bisect each other
The diagonals of a rhombus bisect each othe
When a segment is bisected, the whole segm
of each part
AC = 2AE
4
Type of Statement
XY WZ
Segments that are twice the lengths of congri
congruent
ZX ZY
ABCD is a square because it is a rhombus u
6.
diagonals
ΔΧΥΖ -ΔΤUV
XY WZ
D
XY 1WZ
Classify a triangle
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
ZX is a right angle
XY bisects ZX
XY bisects W Z
XY WZ (or 2W Z)
%3D
AC and BD are segments.
mZX = mZY (or 2mZY)
%3D
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Transcribed Image Text:Step
Statement
Reason
ABCD is a rhombus
Given
1
AE BE
AC and BD bisect each other
The diagonals of a rhombus bisect each othe
When a segment is bisected, the whole segm
of each part
AC = 2AE
4
Type of Statement
XY WZ
Segments that are twice the lengths of congri
congruent
ZX ZY
ABCD is a square because it is a rhombus u
6.
diagonals
ΔΧΥΖ -ΔΤUV
XY WZ
D
XY 1WZ
Classify a triangle
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
ZX is a right angle
XY bisects ZX
XY bisects W Z
XY WZ (or 2W Z)
%3D
AC and BD are segments.
mZX = mZY (or 2mZY)
%3D
You must answer all questions above in order to submit.
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