Exercise 22 Page 746

Recall that angles that intercept the same arc are congruent (Theorem 10.7). Use the Angle-Angle (AA) Similarity Theorem.

Statements	Reasons
⊙ C	Given
∠ HMJ ≅ ∠ LMK	Vertical Angles Theorem
∠ H and ∠ L intercept JK	Definition of intercepted arc
∠ H ≅ ∠ L	Angles that intercept the same arc are congruent (Theorem 10.7)
△ KML ~ △ JMH	AA Similarity Theorem

Statements	Reasons
⊙ C	Given
∠ HMJ ≅ ∠ LMK	Vertical Angles Theorem
∠ H and ∠ L intercept JK	Definition of intercepted arc
∠ H ≅ ∠ L	Angles that intercept the same arc are congruent (Theorem 10.7)
△ KML ~ △ JMH	AA Similarity Theorem

Hints