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7.3: Similar Triangles

7.3: Similar Triangles. Similar triangles have congruent corresponding angles and proportional corresponding sides. Z. Y. A. C. X. B. angle A angle X angle B angle Y angle C angle Z. ABC ~ XYZ. 7.3: Similar Triangles. Triangles are similar if you show:

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7.3: Similar Triangles

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  1. 7.3: Similar Triangles • Similar triangles have congruent corresponding angles and proportional corresponding sides Z Y A C X B angle A angle X angle B angle Y angle C angle Z ABC ~ XYZ

  2. 7.3: Similar Triangles • Triangles are similar if you show: • Any 2 pairs of corresponding sides are proportional and the included angles are congruent (SAS Similarity) R B 12 6 18 C T A 4 S

  3. 7.3: Similar Triangles • Triangles are similar if you show: • All 3 pairs of corresponding sides are proportional (SSS Similarity) R B 6 5 10 C 7 T 14 A 3 S

  4. 7.3: Similar Triangles • Triangles are similar if you show: • Any 2 pairs of corresponding angles are congruent (AA Similarity) R B C T A S

  5. A. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

  6. B. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

  7. A.Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

  8. B.Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

  9. A. Determine whether the triangles are similar. If so, choose the correct similarity statement to match the given data.

  10. B. Determine whether the triangles are similar. If so, choose the correct similarity statement to match the given data.

  11. ALGEBRAGiven , RS = 4, RQ = x + 3, QT= 2x + 10, UT = 10, find RQ and QT.

  12. SKYSCRAPERSJosh wanted to measure the height of the Sears Tower in Chicago. He used a 12-foot light pole and measured its shadow at 1 p.m. The length of the shadow was 2 feet. Then he measured the length of the Sears Tower’s shadow and it was 242 feet at the same time. What is the height of the Sears Tower?

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