line MQ is parallel to line NT : Given
line MMQ is congruent to line NT : Given
line MT is congruent to line MT : Reflexive property
angle N = angle Q ( vertical angles)
∆ MQT is congruent to ∆TMN by SAS postulate of congruency.
Congruent triangles are triangles with equal corresponding angles and equal corresponding sides.
To prove that ∆ MQT is congruent to ∆TMN
line MQ is parallel to line NT : Given
line MMQ is congruent to line NT : Given
line MT is congruent to line MT : Reflexive property
angle N = angle Q ( vertical angles)
Therefore;
∆ MQT is congruent to ∆TMN by SAS postulate of congruency.