Question

How would I prove the congruency of these triangles?

Answer 1

SAS

Explanation:

line AB = line CD S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

Answer 2

Explanation:

In ΔADC & ΔABC,

Statement Reason

AD = BC Given

∠DAC ≅ ∠ACB {AB // BC , AC is transversal, ⇒ alternate interior angles are equal}

AC = CA Reflexive property

ΔADC ≅ ΔABC SAS congruent

AB = CD CPCT -> Corresponding Part of Congruent Triangles