If wxyz is a square, which statements must be true? check all that apply.
a. wx is perpendicular to xy.
b. w is congruent to x.
c. w is supplementary to x.
d. wxyz is a rhombus.
e. wxyz is a trapezoid.
f. wx is parallel to yz.

The correct options are A, B, C, D and F.

Step-by-step explanation:

It is given that WXYZ is a square.

All four sides of square are equal and the measure all interior angles of square are equal, i.e, 90 degree.

Two consecutive sides are perpendicular to each other therefore

Option A is correct.

All interiors angles of a square are congruent therefore

Option B is correct.

Sum of two consecutive angles of a square is always 180 degree, therefore two consecutive angles are supplementary angles.

Option C is correct.

Since all sides are equal and the opposite angles of square are same, therefore square is a special case of rhombus.

Option D is correct.

In a trapezoid only one pair of opposite sides is parallel, but in a square both pairs of opposite sides are parallel. Therefore a trapezoid can not be a square.

Option E is incorrect.

Opposite sides of square are parallel to each other, therefore

Option F is correct.

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