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7-4 Similar Triangles

7-4 Similar Triangles. We could prove that two triangles are similar by verifying that the triangles satisfy the two pieces of the definition of similar polygons 1._____________________________ _____________________________ 2. _____________________________ _____________________________.

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7-4 Similar Triangles

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  1. 7-4 Similar Triangles

  2. We could prove that two triangles are similar by verifying that the triangles satisfy the two pieces of the definition of similar polygons 1._____________________________ _____________________________ 2. _____________________________ _____________________________

  3. Postulate 15 – __________________ _____________________________________________________________________________________________ Ex. If ÐA @ÐD and ÐB @ÐE, then DABC ~ D____ E B A C F D

  4. Check for Understanding – p. 256 #1-11 9. One right triangle has an angle with measure 37°. Another right triangle has an angle with measure 53°. Are the two triangles similar? Explain.

  5. 7-5 Theorems for Similar Triangles

  6. Theorem 7-1 ____________________ If: ÐA @ÐD Then: DABC ~ D___ ________________________________________________________________________________________________ E B C A D F

  7. Theorem 7-2 ____________________ If: Then: DABC ~ D_____ ________________________________________________________________ B E A C D F

  8. Check for Understanding p. 264-5 #1-6 Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used. 1. R C 2. 24 16 N S X 70° 40° 32 D E F 60° 20 10 G H 15 70° J U ____ Similarity Thm. DHFG ~ D___

  9. Check for Understanding p. 264-5 #1-6 Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used. 3. 4. W T 6 12 12 R S 8 X 9 U Y V 8 Q 9 6 Z

  10. Check for Understanding p. 264-5 #1-6 Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used. A L N L P N 5. L 9 15 15 P A 25 N 9 15 25

  11. Check for Understanding p. 264-5 #1-6 Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used. 6. A 20 30 D 24 16 B C 36

  12. Problem Solving x 1.5m 3m 8m Linda wants to determine the height of this tree. She measured the shadow of the tree as 8m and her own shadow was 3m. She knows that she is 1.5m tall. How tall is the tree?

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