Find the length of a segment

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Find the length of a segment EXAMPLE 1 Find the length of a segment In the diagram, QS || UT , RS = 4, ST = 6, and QU = 9. What is the length of RQ ? SOLUTION RQ QU RS ST = Triangle Proportionality Theorem RQ 9 4 6 = Substitute. RQ = 6 Multiply each side by 9 and simplify.

EXAMPLE 2 Solve a real-world problem On the shoerack shown, AB = 33 cm, BC = 27 cm, CD = 44 cm,and DE = 25 cm, Explain why the gray shelf is not parallel to the floor. Shoerack SOLUTION Find and simplify the ratios of lengths determined by the shoerack. CD DE 44 25 = CB BA 27 33 = 9 11

EXAMPLE 2 Solve a real-world problem Because , BD is not parallel to AE . So, the shelf is not parallel to the floor. 44 25 9 11 = ANSWER

GUIDED PRACTICE for Examples 1 and 2 1. Find the length of YZ . 315 11 ANSWER 2. Determine whether PS || QR . ANSWER parallel