**Title: Determining Triangle Similarity****Description:**State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.**Diagram:**The diagram depicts two triangles positioned adjacent to each other:1. **Triangle $ \triangle OMN $**: - Points: $ O, M, N $ - Sides: $ OJ = 18 $, $ JM = 6 $, $ KN = 1 $, $ KJ = 3 $2. **Triangle $ \triangle OIK $**: - Points: $ O, I, K $**Similarity Statement Options:**- $ \triangle OMN \sim \triangle IKO; $ SAS $ \text{Similarity}$- $ \triangle OMN \sim \triangle OJK; $ SSS $ \text{Similarity}$- $ \triangle OMN \sim \triangle OJK; $ SAS $ \text{Similarity}$- The triangles are not similar **Notes:**The correct determination can be based on comparing the side lengths and angles of the triangles. Use your knowledge of similar triangles and the corresponding similarity postulates (SAS - Side-Angle-Side, SSS - Side-Side-Side) to derive the correct statement.**End of Content**

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Answered: State whether the triangles are…

Math

Geometry

State whether the triangles are simllar. If so, write a slmlarity statement and the postulate or theorem you used.

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

**Title: Determining Triangle Similarity**

**Description:**
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

**Diagram:**

The diagram depicts two triangles positioned adjacent to each other:

1. **Triangle $ \triangle OMN $**:
- Points: $ O, M, N $
- Sides: $ OJ = 18 $, $ JM = 6 $, $ KN = 1 $, $ KJ = 3 $

2. **Triangle $ \triangle OIK $**:
- Points: $ O, I, K $

**Similarity Statement Options:**

- $ \triangle OMN \sim \triangle IKO; $ SAS $ \text{Similarity}$
- $ \triangle OMN \sim \triangle OJK; $ SSS $ \text{Similarity}$
- $ \triangle OMN \sim \triangle OJK; $ SAS $ \text{Similarity}$
- The triangles are not similar

**Notes:**
The correct determination can be based on comparing the side lengths and angles of the triangles. Use your knowledge of similar triangles and the corresponding similarity postulates (SAS - Side-Angle-Side, SSS - Side-Side-Side) to derive the correct statement.

**End of Content**

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