Question

The diagonals of parallelogram WXYZ intersect at P. Which statement must be true? Select all that apply.

Answer 1

Options (A), (B) and (C)

Explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Opposite angles are equal.

3). Adjacent pair of angles is supplementary.

4). Diagonals bisect each other.

By property number (4),

WP ≅ YP

BY property number (1),

XY ≅ WZ

By property number (1),

XY║WZ and WY is a transversal line,

∠YWZ = ∠WYX [Alternate interior angles]

Options (A), (B) and (C) are the correct options.