Fill in the missing statement and reason of the proof below. Given: AABD ADCA and AD BC. Prove: ABCD is a rectangle. Statement Reason Step AABD E ADC A Given 1. AD BC Corresponding Parts of Congruent Triangles are Congu (СРСТС) AB CD 2. Type of Statement Corresponding Parts of Congruent Triangles are Congr (СРСТC) AC DB ABCD is a rectangle because it is a parallelogram wi ABCD is a rectangle diagonals

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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For the 3rd step what statement and reason will help prove step 5?
colve/12993350/quao
Fill in the missing statement and reason of the proof below.
Given: AABD ADCA and AD BC.
Prove: ABCD is a rectangle.
Statement
Reason
Step
AABD E ADC A
Given
AD BC
Corresponding Parts of Congruent Triangles are Congruent
(СРСТC)
AB CD
3
Type of Statement
Corresponding Parts of Congruent Triangles are Congruent
4
AC DB
ABCD is a rectangle because it is a parallelogram with congruent
ABCD is a rectangle
diagonals
B
D
Note: BD and AC are segments.
You must answer all questions above in order to submit.
attempt 1 out of 2
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Transcribed Image Text:colve/12993350/quao Fill in the missing statement and reason of the proof below. Given: AABD ADCA and AD BC. Prove: ABCD is a rectangle. Statement Reason Step AABD E ADC A Given AD BC Corresponding Parts of Congruent Triangles are Congruent (СРСТC) AB CD 3 Type of Statement Corresponding Parts of Congruent Triangles are Congruent 4 AC DB ABCD is a rectangle because it is a parallelogram with congruent ABCD is a rectangle diagonals B D Note: BD and AC are segments. 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.
Given
AD BC
Corresponding Parts of
(СРСТО)
AB CD
3
Type of Statement
XY WZ
Corresponding Parts of C
(СРСТО)
4
ZX ZY
ABCD is a rectangle bec
AXYZ ATUV
diagonals
XY || WZ
XY 1 WZ
Classify a triangle
Classify a quadrilateral
ZX and ZY are
E
complementary/supplementary
ZX is a right angle
XY bisects ZX
XY bisects WZ
XY = WZ (or 2W Z)
mZX = mZY (or 2m/Y)
BD and AC are segments.
%3|
Transcribed Image Text:Given AD BC Corresponding Parts of (СРСТО) AB CD 3 Type of Statement XY WZ Corresponding Parts of C (СРСТО) 4 ZX ZY ABCD is a rectangle bec AXYZ ATUV diagonals XY || WZ XY 1 WZ Classify a triangle Classify a quadrilateral ZX and ZY are E complementary/supplementary ZX is a right angle XY bisects ZX XY bisects WZ XY = WZ (or 2W Z) mZX = mZY (or 2m/Y) BD and AC are segments. %3|
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