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Statements

Reasons

1. JK ≅ XY; JL ≅ XZ

1. given

2. JK = XY; JL = XZ

2.def. of ≅

3. JK² + KL² = JL²
XY² + YZ² = XZ²

3. Pythagorean theorem

4. KL² = JL² - JK²
YZ² = XZ² - XY²

4. subtraction property

5. KL² = XZ² - XY²

5. substitution property

6. KL² = YZ²

6. substitution property

7. KL = YZ

7. principle square root property

8. KL ≅ YZ

8. def. of ≅

9. △JKL ≅ △XYZ

9. SSS