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:
This may help you!
¯MN≅¯QP ¯MQ≅¯NP | Property of a Parallelogram (If a quadrilateral is a parallelogram, then its opposite sides are congruent) |
¯MP≅¯MP | Reflexive Property of Congruence |
△MQP≅△PNM | Side-Side-Side Triangle Congruence Theorem |
This may help you!
¯MN≅¯QP ¯MQ≅¯NP | Property of a Parallelogram (If a quadrilateral is a parallelogram, then its opposite sides are congruent) |
¯MP≅¯MP | Reflexive Property of Congruence |
△MQP≅△PNM | Side-Side-Side Triangle Congruence Theorem |