Find the value of x and y. 12. 450 type your answer.

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
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**Problem 12** (8 points)

**Question:** Find the value of x and y.

**Diagram Description:**
The diagram shows a diamond-shaped quadrilateral with all sides equal, marked as diagonals intersecting at their midpoints. 

- One side is labeled as "x".
- The other diagonal is labeled as "y".
- One angle at the vertex where the diagonals intersect is marked as 45°.

**Instructions for Solutions:**
- Find the values of \(x\) and \(y\) based on the given angle and geometric properties.

**Answer Inputs:**
- \(x =\) [Type your answer]
- \(y =\) [Type your answer] 

The problem requires understanding geometric properties, specifically in relation to the properties of kites or rhombuses, solving for unknown side lengths and diagonal lengths.
Transcribed Image Text:**Problem 12** (8 points) **Question:** Find the value of x and y. **Diagram Description:** The diagram shows a diamond-shaped quadrilateral with all sides equal, marked as diagonals intersecting at their midpoints. - One side is labeled as "x". - The other diagonal is labeled as "y". - One angle at the vertex where the diagonals intersect is marked as 45°. **Instructions for Solutions:** - Find the values of \(x\) and \(y\) based on the given angle and geometric properties. **Answer Inputs:** - \(x =\) [Type your answer] - \(y =\) [Type your answer] The problem requires understanding geometric properties, specifically in relation to the properties of kites or rhombuses, solving for unknown side lengths and diagonal lengths.
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