Complete the following proof. Given: WXYZ is a rectangle Prove: ZX = WY W. Statements Reasons 1. Given 1. WXYZ is a rectangle. 2. WXYZ is a parallelogram. 2. Definition of a rectangle 3. Opposite sides of a parallelogram are congruent. 3. WZ XY 4. ZWZY and 2XYZ are right angles. 4. Definition of a rectangle 5. All right angles are congruent. 5. 6. ZY = YZ 6. 7. AWZY÷AXYZ 7. SAS Triangle Congruence Theorem 8. ZX = WY 8. СРСТС

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.CR: Review Exercises
Problem 36CR
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Complete the following proof.
Given: WXYZ is a rectangle
Prove: ZY≅WY

6.
Complete the following proof.
Given: WXYZ is a rectangle
Prove: ZX = WY
W.
X
Y
Statements
Reasons
1. Given
1. WXYZ is a rectangle.
2. WXYZ is a parallelogram.
2. Definition of a rectangle
3. Opposite sides of a
parallelogram are
congruent.
3. WZ=XY
4. Definition of a rectangle
4. ZWZY and 2XYZ are right
angles.
5. All right angles are
congruent.
5.
6. ZY = YZ
6.
7. AWZY÷AXYZ
7. SAS Triangle Congruence
Theorem
8. ZX = WY
8. СРСТС
Transcribed Image Text:6. Complete the following proof. Given: WXYZ is a rectangle Prove: ZX = WY W. X Y Statements Reasons 1. Given 1. WXYZ is a rectangle. 2. WXYZ is a parallelogram. 2. Definition of a rectangle 3. Opposite sides of a parallelogram are congruent. 3. WZ=XY 4. Definition of a rectangle 4. ZWZY and 2XYZ are right angles. 5. All right angles are congruent. 5. 6. ZY = YZ 6. 7. AWZY÷AXYZ 7. SAS Triangle Congruence Theorem 8. ZX = WY 8. СРСТС
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