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AveGali [126]
3 years ago
7

If WXYZ is a square, which statements must be true? Check all that apply

Social Studies
2 answers:
faust18 [17]3 years ago
7 0

Answer: A. WXYZ is a parallelogram

B. \angle{W} is a right angle.

D. \overline{WX}\cong\overline{XY}

E. \angle{W}\cong\angle{Y}

F. \angle{W} is supplementary to  \angle{Y}.

Step-by-step explanation:

Given: WXYZ is a square.

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

B. \angle{W} 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

\overline{WX}\cong\overline{XY}

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

\angle{W}\cong\angle{Y}

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

Thus, \angle{W}+\angle{Y}=90^{\circ}+90^{\circ}=180^{\circ}

Hence,  \angle{W} is supplementary to  \angle{Y}.

stepan [7]3 years ago
4 0

Answer:

True statements are,

A, B, D, E , and F

Step-by-step explanation:

<u>Properties of a square</u>

1) All sides are equal

2) All angles are equal to 90°

3) Opposite sides are parallel

<u>A. WXYZ is a parallelogram</u>

True (property 3)

<u>B. <W is right angle </u>

True  (Property 2)

<u>C. WXYZ is a trapezoid</u>

False

<u>D. WX ≅ XY</u>

True  (Property 1)

<u>E. <W congruent to <Y</u>

True (Property 1)

<u>F. <W is supplementary to <Y</u>

True (Property 2)

True statements are,

A, B, D, E , and F

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