example 2 given wz i xy wx ii zywzazy prove wxyz is a rhombus statements reasons 44004

Name: example 2 given wz i xy wx ii zywzazy prove wxyz is a rhombus statements reasons 44004
Uploaded: 2023-04-26T08:10:12-08:00
Duration: 1 min 22 s
Channel: Numerade
Description: example 2 given wz i xy wx ii zywzazy prove wxyz is a rhombus statements reasons 44004

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Question

Given: WZ || XY, WX || ZY, WZ = ZY Prove: WXYZ is a rhombus Statements 1. WZ || XY (Given) 2. WX || ZY (Given) 3. WZ = ZY (Given) 4. âˆ WZY = âˆ WXY (Alternate Interior Angles Theorem) 5. âˆ WXY = âˆ WYZ (Alternate Interior Angles Theorem) 6. âˆ WYZ = âˆ WZY (Vertical Angles Theorem) 7. âˆ WZY = âˆ WXY = âˆ WYZ (Transitive Property of Equality) 8. WXYZ is a parallelogram (Definition of a parallelogram) 9. WXYZ is a rhombus (Definition of a rhombus) Reasons 1. Given 2. Given 3. Given 4. Alternate Interior Angles Theorem 5. Alternate Interior Angles Theorem 6. Vertical Angles Theorem 7. Transitive Property of Equality 8. Definition of a parallelogram 9. Definition of a rhombus

          Given: WZ || XY, WX || ZY, WZ = ZY
Prove: WXYZ is a rhombus

Statements
1. WZ || XY (Given)
2. WX || ZY (Given)
3. WZ = ZY (Given)
4. âˆ WZY = âˆ WXY (Alternate Interior Angles Theorem)
5. âˆ WXY = âˆ WYZ (Alternate Interior Angles Theorem)
6. âˆ WYZ = âˆ WZY (Vertical Angles Theorem)
7. âˆ WZY = âˆ WXY = âˆ WYZ (Transitive Property of Equality)
8. WXYZ is a parallelogram (Definition of a parallelogram)
9. WXYZ is a rhombus (Definition of a rhombus)

Reasons
1. Given
2. Given
3. Given
4. Alternate Interior Angles Theorem
5. Alternate Interior Angles Theorem
6. Vertical Angles Theorem
7. Transitive Property of Equality
8. Definition of a parallelogram
9. Definition of a rhombus

example 2 given wz i xy wx ii zywzazy prove wxyz is a rhombus statements reasons 44004

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