Answer reason 2. ZYXW is a parallelogram W Prove: ZZWX = ZZYX Statements ZY // WX ZW // WZ ZWXZZYZX ZWZX LYXZ ZX ZX AWZX AYXZ ZZWX ZZYX Reasons Given 1 2 Reflexive postulate 3 4
Answer reason 2. ZYXW is a parallelogram W Prove: ZZWX = ZZYX Statements ZY // WX ZW // WZ ZWXZZYZX ZWZX LYXZ ZX ZX AWZX AYXZ ZZWX ZZYX Reasons Given 1 2 Reflexive postulate 3 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
Related questions
Question
HELP ME PLEASE! i don't understand this well.

Transcribed Image Text:**Answer Reason 2**
**ZYWX is a Parallelogram**
Diagram: A parallelogram ZYXW is shown, with diagonals ZX and WY intersecting.
**Prove: ∠ZWX ≅ ∠ZYX**
| **Statements** | **Reasons** |
|------------------------------|-------------------------|
| \( \overline{ZY} \parallel \overline{WX} \) <br> \( \overline{ZW} \parallel \overline{YZ} \) | Given |
| \( \angle WXZ \cong \angle YZX \) | 1 |
| \( \angle WZX \cong \angle YXZ \) | 2 |
| \( \overline{ZX} \cong \overline{ZX} \) | Reflexive Postulate |
| \( \triangle WZX \cong \triangle YXZ \) | 3 |
| \( \angle ZWX \cong \angle ZYX \) | 4 |
**Explanation of Diagram:**
The diagram shows a parallelogram ZYXW with a diagonal ZX. The parallel lines ZY & WX and ZW & YZ are indicated, setting up the basis for proving congruent angles through alternate interior angles, and the reflexive property of equality for line ZX establishes triangle congruency.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning