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Statements

Reasons

1. G is the midpoint of JK

1. given

2. H is the midpoint of JL

2. given

3. JG = GK; JH = HL

3. def. of midpoint

4. JG + GK = JK;
JH + HL = JL

4. segment addition postulate

5. JG + JG = JK;
JH + JH = JL

5. substitution property

6. 2JG = JK; 2JH = JL

6. addition

7. 2 = #&\frac{\sf JK}{\sf JG}#&; 2 = #&\frac{\sf JL}{\sf JH}#&

7.division property

8. #&\frac{\sf JK}{\sf JG} = \frac{\sf JL}{\sf JH}#&

8. substitution property

9. ∠J ≅ ∠J

9. reflexive property

10. △JGH ~ △JKL

10. SAS similarity theorem