Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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**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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Transcribed Image Text:**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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