We know that one pair of angles are congruent. Can we say anything about any other angles?
See solution.
Practice makes perfect
Let's illustrate two right triangles where we know that an angle and the hypotenuse of one triangle is congruent to an angle and the hypotenuse of the other.
Now we can write our paragraph proof:
By the Right Angles Congruence Theorem, the two triangles have congruent right angles. Because another pair of angles and a pair of corresponding non-included sides are congruent, the triangles are congruent by the AAS Congruence Theorem.
