Select the correct answer from each drop-down menu. Given: M is the midpoint of segment . Angles and are right angles. Prove: A figure shows two parallel lines, JG and HK. A line connects JK and HG. These two lines intersect at M. Complete the proof. It is given that M is the midpoint of segment . Therefore by the definition of a midpoint. It is also given that Angles and are right angles. Thus, because all right angles are congruent. Since vertical angles are congruent by the vertical angles theorem, . Then, it follows that by the criteria. In congruent triangles, corresponding sides are congruent, thus . In conclusion by definition of congruent angles.
