Statements
Reasons

1. △WXY is isosceles with
legs WX and WY

1. given

2. △WVZ is isosceles with
legs WV and WZ

2. given

3. WX ≅ WY; WV ≅ WZ

3. def. of isosceles traingle

4. ♣

4. def. of ≅

5. (WZ)(WX) = (WY)(WZ)

5. multiplication property

6. (WZ)(WX) = (WY)(WV)

6. ♦

7. $&\frac{\sf WY}{\sf WZ} = \frac{\sf WX}{\sf WV}$&

7. property of proportion

8. ∠W ≅ ∠W

8. reflexive property

9. △WXY ~ △WVZ

9. ♠