Answer
1. Given
2. Identity
3. $\triangle NMQ = \triangle NPQ$
4. CPCTC
5. MNPQ is a kite
Work Step by Step
1. Statement is given
2. $\overline{NQ} = \overline{NQ}$ - Any line segment is congruent to itself
3. $\angle 1 = \angle 2, \overline{NQ} = \overline{NQ}, \angle 3 = \angle 4, $ - Angle Side Angle
4. $\overline{MN} = \overline{PN}$ and $\overline{MQ} = \overline{PQ}$ - Corresponding Parts of Congruent Triangles are Congruent
5. Prove statement is given
