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To Start: 18 Points

To Start: 18 Points. Determine if the polygons are similar. If so, write the similarity statement and scale factor. Identify the congruent angles. Compare the ratios. 4. 12. T. J. U. K. 2. 6. W. M. 8. 8. 24. 24. V. L. Chapter 7: Similarity.

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To Start: 18 Points

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  1. To Start: 18 Points • Determine if the polygons are similar. If so, write the similarity statement and scale factor. • Identify the congruent angles. • Compare the ratios 4 12 T J U K 2 6 W M 8 8 24 24 V L

  2. Chapter 7: Similarity Section 7.3: Proving Triangles Congruent

  3. Postulate 7.1 AA∼

  4. Using AA∼ Postulate • Are the two triangles similar? Why? • ∠R≅∠V Both are 45o • ∠RSW≅∠VSB Vertical ∠’s So, ∆RSW∼∆VSB AA∼ Postulate

  5. Using AA∼ Postulate • Are the two triangles similar? Why? • ∠L≅∠R Both are 70o • ∠K=180-70-30=80 • ∠P=180-85-70=25 So, ∆RSW and ∆VSB are not Similar

  6. Using AA∼ Postulate YES NO

  7. Theorem 7-1 SAS∼

  8. Verifying Triangle Similarity • Are the triangles similar? If so, write the similarity statement. ∠K≅∠K Reflexive So, ∆KLP∼∆KMN by SAS∼

  9. Theorem 7-2 SSS∼

  10. Verifying Triangle Similarity • Are the triangles similar? If so, write the similarity statement. • All three ratios are equal, so, ∆STU ∼∆VSB by the SSS∼ Theorem.

  11. Using SAS∼ and SSS∼ YES! ∆ABC ∼∆EFG by SSS∼ YES! ∆ALW ∼∆ACE by SAS∼

  12. Homework!! • Page 455: • 1-3, 7-12, 24-26 • 7.3 Worksheet

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