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**Similar Figures** **Given the similar figures, name all pairs of corresponding sides and angles.** Two triangles are shown: \( \triangle LMN \) and \( \triangle RST \). - **Triangle \( \triangle LMN \):** - Side \( LM = 9 \) - Side \( MN = 12 \) - Side \( LN = 15 \) - **Triangle \( \triangle RST \):** - Side \( RS = 6 \) - Side \( ST = 8 \) - Side \( RT = 10 \) **Corresponding sides:** - \( LM \sim rs \) - \( MN \sim st \) - \( NL \sim tr \) **Corresponding angles:** - \( \angle L = \, {} \) - \( \angle M = \, {} \) - \( \angle N = \, {} \) *Note: The triangles imply similarity and proportionality among corresponding sides and congruence between corresponding angles.*

**Similar Figures** **Given the similar figures, name all pairs of corresponding sides and angles.** Two triangles are shown: \( \triangle LMN \) and \( \triangle RST \). - **Triangle \( \triangle LMN \):** - Side \( LM = 9 \) - Side \( MN = 12 \) - Side \( LN = 15 \) - **Triangle \( \triangle RST \):** - Side \( RS = 6 \) - Side \( ST = 8 \) - Side \( RT = 10 \) **Corresponding sides:** - \( LM \sim rs \) - \( MN \sim st \) - \( NL \sim tr \) **Corresponding angles:** - \( \angle L = \, {} \) - \( \angle M = \, {} \) - \( \angle N = \, {} \) *Note: The triangles imply similarity and proportionality among corresponding sides and congruence between corresponding angles.*

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Similar Figures** **Given the similar figures, name all pairs of corresponding sides and angles.** Two triangles are shown: \( \triangle LMN \) and \( \triangle RST \). - **Triangle \( \triangle LMN \):** - Side \( LM = 9 \) - Side \( MN = 12 \) - Side \( LN = 15 \) - **Triangle \( \triangle RST \):** - Side \( RS = 6 \) - Side \( ST = 8 \) - Side \( RT = 10 \) **Corresponding sides:** - \( LM \sim rs \) - \( MN \sim st \) - \( NL \sim tr \) **Corresponding angles:** - \( \angle L = \, {} \) - \( \angle M = \, {} \) - \( \angle N = \, {} \) *Note: The triangles imply similarity and proportionality among corresponding sides and congruence between corresponding angles.*
Transcribed Image Text:**Similar Figures** **Given the similar figures, name all pairs of corresponding sides and angles.** Two triangles are shown: \( \triangle LMN \) and \( \triangle RST \). - **Triangle \( \triangle LMN \):** - Side \( LM = 9 \) - Side \( MN = 12 \) - Side \( LN = 15 \) - **Triangle \( \triangle RST \):** - Side \( RS = 6 \) - Side \( ST = 8 \) - Side \( RT = 10 \) **Corresponding sides:** - \( LM \sim rs \) - \( MN \sim st \) - \( NL \sim tr \) **Corresponding angles:** - \( \angle L = \, {} \) - \( \angle M = \, {} \) - \( \angle N = \, {} \) *Note: The triangles imply similarity and proportionality among corresponding sides and congruence between corresponding angles.*
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