+912 Drag and drop a statement or reason to each box to complete the proof.
Given: parallelogram MNPQ
Prove: ∠N≅∠Q
Statement Reason
parallelogram MNPQ Given
MN¯¯¯¯¯¯¯ ≅ QP¯¯¯¯¯ ( <-- these 2 are together.) ( )
MQ¯¯¯¯¯¯ ≅ NP¯¯¯¯¯¯
( ) ( )
△MQP ≅ △PNM ( )
( ) CPCTC
OPTIONS:
+2446 This may help you!
| \(\overline{MN}\cong\overline{QP}\) \(\overline{MQ}\cong\overline{NP}\) | Property of a Parallelogram (If a quadrilateral is a parallelogram, then its opposite sides are congruent) |
| \(\overline{MP}\cong\overline{MP}\) | Reflexive Property of Congruence |
| \(\triangle MQP\cong\triangle PNM\) | Side-Side-Side Triangle Congruence Theorem |
+2446 This may help you!
| \(\overline{MN}\cong\overline{QP}\) \(\overline{MQ}\cong\overline{NP}\) | Property of a Parallelogram (If a quadrilateral is a parallelogram, then its opposite sides are congruent) |
| \(\overline{MP}\cong\overline{MP}\) | Reflexive Property of Congruence |
| \(\triangle MQP\cong\triangle PNM\) | Side-Side-Side Triangle Congruence Theorem |
