**Educational Transcription:****Problem 3: Understanding Similar Polygons**The task is to find the value of each variable given that the polygons are similar.**Diagram A:**This part of the diagram displays two triangles. The left triangle has:- A side labeled as $ y $- The other sides are labeled as 4 and 12.The right triangle has:- Corresponding side labeled as 12- The other sides are labeled as 6 and 18.The variables $ x $ and $ y $ correspond to angles in each triangle.**Diagram B:**This section shows two intersecting triangles with a common middle segment. The left triangle features:- Side $ b $ opposite angle labeled with a curve- Other side measures as 9.The right triangle includes:- Side $ a $ opposite angle labeled with a curve- Other sides measure 15 and 10.The triangles share a base of 12.**Instruction:**Using the principle that corresponding angles are equal and corresponding sides are proportional in similar polygons, solve for each variable.

we know that if two polygons are similar then their corresponding side will be in same ratio so,…

Answered: 3. The polygons are similar. Find the v…

Math

Geometry

3. The polygons are similar. Find the v alue of each variable. А. 12 В. a 15 b 10 18 12 12

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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Question

**Educational Transcription:**

**Problem 3: Understanding Similar Polygons**

The task is to find the value of each variable given that the polygons are similar.

**Diagram A:**

This part of the diagram displays two triangles. The left triangle has:

- A side labeled as $ y $
- The other sides are labeled as 4 and 12.

The right triangle has:

- Corresponding side labeled as 12
- The other sides are labeled as 6 and 18.

The variables $ x $ and $ y $ correspond to angles in each triangle.

**Diagram B:**

This section shows two intersecting triangles with a common middle segment. The left triangle features:

- Side $ b $ opposite angle labeled with a curve
- Other side measures as 9.

The right triangle includes:

- Side $ a $ opposite angle labeled with a curve
- Other sides measure 15 and 10.

The triangles share a base of 12.

**Instruction:**

Using the principle that corresponding angles are equal and corresponding sides are proportional in similar polygons, solve for each variable.

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