please help me in this

Question

The diagonals of parallelogram ABCD intersect at P. Select all the statements that must be true.

A. AP≅ CP

B. BC ≅ AD

C. m∠ABC=90

D. ∠CAD ≅ ∠ACB

E. ∠BPC ≅ ∠APD

Answer 1

A. True. Diagonals of a parallelogram bisect each other.

B. True. Opposite sides of a parallelogram are congruent.

C. False. Parallelograms do not necessarily have 90 degree corners.

D. True. Since m∠BAD = m∠BCD (definition of a parallelogram) and m∠CAB = m∠ACD (opposite interior angles are congruent).

E. True. Opposite angles are congruent.