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# NAME CLASS DATE Practice Masters Level A 8.4 The Side-Splitting Theorem Use the Side-Splitting Theorem to nd x. x x 8 9 5 4 10 x 6 x x 3.5 x 5 x 6 3...

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Use the Side-Splitting Theorem to ﬁnd x . 1. 2. 3. 4. Name all the similar triangles in each ﬁgure. State the postulate or theorem that justiﬁes each similarity. 5. 6. Use the Two-Transversal Proportionality Corollary to ﬁnd x . 7. 8. x ± x ± x ± 2 4 1 x x 3 8 9 P S Q T R G E D F B A C x ± x ± x ± 5 4 6 x x 4 4.5 3 x ± x ± x 9 10 6 x 8 5 4
In Exercises 1 and 2, complete the equation to make a true proportion. 1. 2. In Exercises 3 = 6, the triangles are similar. Find x . 3. 4. 5. Given: 6. Given: 7. When Susan stands 8 feet from the base of a street lamp, her shadow is 10 feet long. Susan is 5 feet tall. Find the height, h , of the lamp. 1 2 8 ft 5.5 ft 10 ft h x ± x ± x 10 Y S Z V W x 5 8 12 A P D C B ± WVS ± ± YVZ , WS ± 24, YZ ± 30 ± APB ± ± CPD x ± x ± x 10 5 6 x 3 4 5 BC BD ± PM XN ± C A B D Q P M N R Y X Z
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