Geometry Companion Book, Volume 2

7.1.3 Triangle Similarity: AA, SSS, and SAS - Worksheet (continued)

Example 4: 7. Given: 

8.  Given: SQ = 2 QP , TR = 2 RP Prove: △ PQR ~ △ PST

 MN KL Prove: △ JMN ~ △ JKL J N M

K

L

9. The coordinates of A , B , and C are A (0, 0), B (2, 6), and C (8, − 2). What theorem or postulate justifies the statement △ ABC ~ △ AEF , if the coordinates of E and F are twice the coordinates of B and C ?

Example 5: 10.  In order to measure the distance AB across the meteorite crater, a surveyor at S locates points A, B, C, and D as shown. What is AB to the nearest meter? nearest kilometer?

A

733 m

C

586 m

S

533 m

644 m

D

800 m

B

77

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