DEFINITION

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

TRY THIS OUT!!!

• Given: ∆ MOL ∆REY

• Fill the blanks: • 1) M __

• 2) O __

• 3) ___ Y

2

15

L O

M

2

4

5

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 : ?

2

15

L O

M

2

4

5

State whether the proportion is correct for

the indicated similar triangles.

1. ∆RST ~∆XYZRS : XY = ST : YZ

State whether the proportion is correct for

the indicated similar triangles.

2. ∆ABC ~∆DEFAB : DE = BC : EF

State whether the proportion is correct for

the indicated similar triangles.

3. ∆RST ~∆LMKRT : LM = ST : MK

State whether the proportion is correct for

the indicated similar triangles.

4. ∆HIS ~∆DEFHI : DE = IJ : EF

State whether the proportion is correct for

the indicated similar triangles.

5. ∆KLM ~∆PQRKM : PR = LM : QR

State whether the proportion is correct for

the indicated similar triangles.

6. ∆XYZ ~∆UVWXY : UV = XZ : UW

Complete the proportions

7. ∆ABC ~∆DEFAB =BC = AC ? ? ?

Complete the proportions

8. ∆KLM ~∆RSTKL =LM = KM ? ? ?

Complete the proportions

9. ∆XYZ ~∆RSTXY =XZ = YZ ? ? ?

Complete the proportions

10. ∆MNO ~∆VWXVX =VW = WX ? ? ?

SIMILARITY THEOREMS THEOREMS