Question

Given: ABCD is a parallelogram. Prove:

Answer 1

Answer:

ABCD is a parallelogram/Given

Line AB is parallel to line DC/Opposite sides of a parallelogram are equal

Line FD is congruent to Line FD/Reflexive property

Line BE is congruent to line BE/Reflexive property

Line AC is congruent to Line AC/Reflexive Property

Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem

Angle BCD is congruent to Angle FCE by Vertical Angles Theorem

Angle A is congruent to Angle BCD by Transitive Property