Similar Triangles

1. Similar Triangles

2. DEFINITION • Two triangles are similar if corresponding angles are congruent and corresponding sides are proportional.

3. R M 5 2 3 O L 4 E Y 6 TRY THIS OUT!!! • Given: ∆ MOL ∆REY • Fill the blanks:   • 1) M  __ • 2) O  __ • 3) ___  Y

4. R M 5 2 3 O L 4 E Y 6 TRY THIS OUT!!! • Given: ∆ MOL ∆REY • Fill the blanks:   • 4) ML : RY = MO : ? • 5) ML : RY = LO : ? • 6) 2 : 3 = ? : 15 • 7) 4 : 6 = 2 : ?

5. State whether the proportion is correct for the indicated similar triangles. 1. ∆RST ~∆XYZ • RS : XY = ST : YZ

6. State whether the proportion is correct for the indicated similar triangles. 2. ∆ABC ~∆DEF • AB : DE = BC : EF

7. State whether the proportion is correct for the indicated similar triangles. 3. ∆RST ~∆LMK • RT : LM = ST : MK

8. State whether the proportion is correct for the indicated similar triangles. 4. ∆HIS ~∆DEF • HI : DE = IJ : EF

9. State whether the proportion is correct for the indicated similar triangles. 5. ∆KLM ~∆PQR • KM : PR = LM : QR

10. State whether the proportion is correct for the indicated similar triangles. 6. ∆XYZ ~∆UVW • XY : UV = XZ : UW

11. Complete the proportions 7. ∆ABC ~∆DEF • AB =BC = AC ? ? ?

12. Complete the proportions 8. ∆KLM ~∆RST • KL =LM = KM ? ? ?

13. Complete the proportions 9. ∆XYZ ~∆RST • XY =XZ = YZ ? ? ?

14. Complete the proportions 10. ∆MNO ~∆VWX • VX =VW= WX ? ? ?

15. SIMILARITY THEOREMS