Agenda Investigation 8-3 Proving Triangles are Similar Class Work

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Agenda Investigation 8-3 Proving Triangles are Similar Class Work Homework

Warm Up 1 State if the following figures are similar 2 The two triangles are similar. Solve for x.

Homework Check 3. 3b 4. 4/3 5. b/4 6. b/a 7. 3/a 8. 4a 9. 7/4 10. 3/7 11. (b+4)/4 12. 4 13. 5/3 14. 4 15. 6.875 16. 7.2 17. 7.2 18. 7.5 19. 14 20. 7 26. 13:6 27. 5:4 28. 4:3

Homework Check contd 1.JHY 2. R 3. JXY 4. HY 5. JT 6. HY 9. yes, KLMJ~PQNO; 3/5 10. yes; ABCD~FGHE;4/5 11. No; corr angles are not congruent 12. yes; ABC~FED; 7/5 13. x=4, y=3 14. x=20, y=17.5, z=7.5 15. x=16, y=4.5, z=7.5 16. x=6, y=8, z=10

Investigation: Triangles with Two Pairs of Congruent Angles With a partner, complete the Investigation Worksheet. Answer both questions

8-3 Proving Triangles are Similar 3 ways to prove Triangles are Similar: AA ~ If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar Similarity Statement:

2. SAS ~ If 2 sides of a triangle are proportional to two sides of another triangle AND the included (in between) angles are congruent, then the triangles are similar. Similarity Statement:

3. SSS ~ If all 3 corresponding sides of two triangles are proportional, then the triangles are similar Similarity Statement:

Indirect Measurement using similar triangles often uses one of these two facts: Light reflects off a mirror at the same angles at which it hits the mirror. Similar By:

2. Similar Triangles are formed by figures and their shadows Similar By:

Examples: For each of the following, explain why the triangles are similar and write a similarity statement

Class Work 8-3 Practice in Book Problems 1-9

Homework Complete the worksheet