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 %3D When a segment is bisected, the whole segment is twice the length of each part 4. BD = 2BE %3D Type of Statement ABCD is a square because it is a rhombus with congruent diagonals 6. ABCD is a square 2.
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 %3D When a segment is bisected, the whole segment is twice the length of each part 4. BD = 2BE %3D Type of Statement ABCD is a square because it is a rhombus with congruent diagonals 6. ABCD is a square 2.
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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Question
What is the statement and reason for step 5
Transcribed Image Text:When a segment is bisec
of each part
3
AC = 2AE
%3D
When a segment is bisect
of each part
4.
BD = 2BE
Type of Statement
XY 스 WZ
Type of Statement becaus
6.
diagonals
ZX 쓴 ZY
AXY Z ATUV
XY WZ
XY 1WZ
Classify a triangle
E
Classify a quadrilateral
ZX and ZY are
complementary/supplementary
ZX is a right angle
XY bisects ZX
XY bisects WZ
AC and BD are segments.
XY = WZ (or 2W Z)
mZX = mZY (or 2m/Y)
You
ove in order to submit.
Transcribed Image Text:4:11/11:44
CC
Progress:
94%
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
2.
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
When a segment is bisected, the whole segment is twice the length
of each part
4
BD = 2BE
5
Type of Statement
ABCD is a square because it is a rhombus with congruent
diagonals
6
ABCD is a square
A
B
Note: AC and BD are segments.
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