Question

in theorem 19 prove angle a is equal to angle c by using theorem 9 statement and reasons

Answer 1

EXPLANATION

Statement Reason

AD ≅ CB Parallel opposite sides of a parallelogram are congruent

DC ≅ BA Parallel opposite sides of a parallelogram are congruent

DB ≅ BD Reflexive Axiom

△DAB ≅ △BCD Side-Side-Side Theorem

Reflexive Axiom: Any figure with a measure of some sort is also equal to itself. In other words, segments, angles, and polygons are always equal to themselves.