If wxyz is a square, which statements must be true? check all that apply

True statements are,

A, B, D, E , and F

Step-by-step explanation:

Properties of a square

1) All sides are equal

2) All angles are equal to 90°

3) Opposite sides are parallel

A. WXYZ is a parallelogram

True (property 3)

B. <W is right angle

True  (Property 2)

C. WXYZ is a trapezoid

False

D. WX ≅ XY

True  (Property 1)

E. <W congruent to <Y

True (Property 1)

F. <W is supplementary to <Y

True (Property 2)

True statements are,

A, B, D, E , and F

A. WXYZ is a parallelogram

B. is a right angle.

D.

E.

F. is supplementary to  .

Step-by-step explanation:

Given: WXYZ is a square.

A. A square is a parallelogram because its opposite sides are equal.

B. is a right angle , since all the interior angles in a square area right angle.

C. A trapezoid has two equal parallel sides and two non-parallel sides.

But square has opposite sides parallel , therefore WXYZ is not a trapezoid.

D. Since all the sides of a square are congruent to each other , therefore

E. Since all the angles of a square are congruent to each other , therefore

F. Since , all the interior angles in a square area right angle.

Thus,

Hence,   is supplementary to  .

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5