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In parallelogram WXYZ, the shorter sides are half the length of the longer sides.

Parallelogram WXYZ. The length of sides WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.

Which statements are true? Check all that apply.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If WX = 12 in., then XY = 6 in.

E. Side WZ must be 12 inches.

F. m∠Z = m∠X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answer :

For the given parallelogram following statements are true

B. The quadrilateral has opposite sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

Learn more about parallelogram here

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Rewritten by : Barada

Answer:

B

E

H

I think this is right