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Warm Up

Warm Up. A. 2. Solve for x. E. B. D. C. Section 6.5 SSS and SAS Similarity. Similarity Review……. Discussion. Similar Polygons. Corresponding Angles. ABCD ~ EFGH. F. B. C. G. Corresponding Sides. z. y. Similar Triangles. Corresponding Angles. X. E. H. AA Similarity. A.

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Warm Up

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  1. Warm Up A 2. Solve for x. E B D C

  2. Section 6.5 SSS and SAS Similarity

  3. Similarity Review…….. Discussion Similar Polygons Corresponding Angles ABCD ~ EFGH F B C G Corresponding Sides z y Similar Triangles Corresponding Angles X E H AA Similarity A D

  4. Question??? Discussion If three sides of one triangle are proportional to the threes sides of another triangle, must the two triangles be similar?

  5. Activity 6 Draw triangle ABC. 12 18 2. Measure all three sides. 2 3. Construct a second triangle, XYZ, whose side lengths are some multiple of the original triangle. 4 6

  6. Activity 4. With a protractor, measure all three angles in each triangle. 95 6 45 2 4 ? 12 6 18 40 ? ? 5. Compare the corresponding angles of the two triangles.

  7. What did you notice? 95 6 45 2 40 4 12 6 18 40 State a conjecture…… If the _______ sides of one triangle are proportional to the _____ sides of another triangle, then__________________________________. 95 45 SSS Similarity

  8. Examples

  9. Discussion Are there other ways to determine if triangles are similar? YES !!! SAS Similarity If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent then the triangles are similar Make sense???

  10. What is Side-Angle-Side Similarity (SAS~) Need: 2 sides in proportion & Angle in between  Then: Triangles are similar IF THEN

  11. Examples Verify that ∆TXU ~ ∆VXW. Verify that the triangles are similar and write a similarity statement. Explain your reasoning.

  12. Examples Sketch the triangles using the given description. Explain whether the two triangles can be similar. In ∆ABC: AB=10, BC=16, and In ∆XYZ: YZ=15, ZX=24, and

  13. Homework W.B. p.115#’s1-4, 6-7, 9-10

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