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.

- anonymous

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- anonymous

@mathmate

- anonymous

@laughoutloud

- mathstudent55

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## More answers

- mathstudent55

What is the definition of a square?

- anonymous

a plane figure with four equal straight sides and four right angles

- mathstudent55

Good.
Let's go through each part.

- anonymous

i think it f and d

- mathstudent55

It has 4 right angles.
Part A. Does that make it so that consecutive sides are perpendicular?

- anonymous

yes

- mathstudent55

Correct, so part A . is true.

- mathstudent55

Part B. Angles W and X are both right angles. Are they congruent?

- anonymous

yes

- mathstudent55

Correct.
Part B. True.

- mathstudent55

Part C.
What are supplementary angles?

- anonymous

e is wrong

- mathstudent55

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- mathstudent55

You're on part E already?

- anonymous

x an y i think

- mathstudent55

I don't understand your answer.
Let's look at part C.
The question deals with supplementary angles.
What are supplementary angles?

- anonymous

angle add up to 180

- mathstudent55

Definition of Supplementary Angles:
Two angles are supplementary if their measures have a sum of 180 degrees.

- anonymous

so c is right

- mathstudent55

Correct.
Since all 4 angles of a square are right angles, each angle has a measure of 90 degrees.
That means any two angles of a square are supplementary angles because
90 + 90 = 180.

- mathstudent55

C. True

- mathstudent55

Now we do D.
Do you know what a rhombus is?

- anonymous

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

- mathstudent55

Correct.
A rhombus is a parallelogram with all 4 sides congruent.
Is a square a parallelogram with all 4 sides congruent?

- anonymous

so d is right

- mathstudent55

Corect.
D. True
E. You already wrote above False, and you are correct.
A trapezoid has to have exactly two sides parallel, which means the other two sides cannot be parallel. A parallelogram can never be a trapezoid.

- mathstudent55

D. True
E. False

- anonymous

thank for your help

- anonymous

and f is true

- mathstudent55

Part F.
A square is a parallelogram.
A parallelogram is a quadrilateral with two pairs of parallel opposite sides.

- mathstudent55

Correct.
F. True

- mathstudent55

Great job. I see you know your stuff!

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