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9.4 Proportional Parts and Triangles

9.4 Proportional Parts and Triangles. Vocabulary. Proportional Parts and Triangles. What You'll Learn. You will learn to identify and use the relationships between proportional parts of triangles. Nothing New!. intersects the other two sides of Δ PQR. and. P. Q. R.

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9.4 Proportional Parts and Triangles

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  1. 9.4 Proportional Parts and Triangles

  2. Vocabulary Proportional Parts and Triangles What You'll Learn You will learn to identify and use the relationships between proportional parts of triangles. Nothing New!

  3. intersects the other two sides of ΔPQR. and P Q R Proportional Parts and Triangles In ΔPQR, Are ΔPQR and ΔPST, similar? corresponding angles PST  PQR P  P ΔPQR ~ΔPST. Why? (What theorem / postulate?) S T AA Similarity (Postulate 9-1)

  4. A C B E D If Proportional Parts and Triangles parallel similar ΔABC ~ ΔADE.

  5. Since , ΔSVW ~ ΔSRT. Complete the proportion: R V S W T SV Proportional Parts and Triangles

  6. A C B D E Proportional Parts and Triangles proportional lengths

  7. A 3 4 H G 5 x + 5 x B C Proportional Parts and Triangles

  8. Brace 4 ft 6 ft 10 ft = 3 x =1 x ft 5 4 ft Proportional Parts and Triangles Jacob is a carpenter. Needing to reinforce this roof rafter, he must find the length of the brace. 4 x 4 10 10x = 16

  9. Proportional Parts and Triangles End of Section 9.4

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