anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
@laughoutloud
mathstudent55
  • mathstudent55
|dw:1438642548042:dw|

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mathstudent55
  • mathstudent55
What is the definition of a square?
anonymous
  • anonymous
a plane figure with four equal straight sides and four right angles
mathstudent55
  • mathstudent55
Good. Let's go through each part.
anonymous
  • anonymous
i think it f and d
mathstudent55
  • mathstudent55
It has 4 right angles. Part A. Does that make it so that consecutive sides are perpendicular?
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
Correct, so part A . is true.
mathstudent55
  • mathstudent55
Part B. Angles W and X are both right angles. Are they congruent?
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
Correct. Part B. True.
mathstudent55
  • mathstudent55
Part C. What are supplementary angles?
anonymous
  • anonymous
e is wrong
mathstudent55
  • mathstudent55
|dw:1438642905851:dw|
mathstudent55
  • mathstudent55
You're on part E already?
anonymous
  • anonymous
x an y i think
mathstudent55
  • mathstudent55
I don't understand your answer. Let's look at part C. The question deals with supplementary angles. What are supplementary angles?
anonymous
  • anonymous
angle add up to 180
mathstudent55
  • mathstudent55
Definition of Supplementary Angles: Two angles are supplementary if their measures have a sum of 180 degrees.
anonymous
  • anonymous
so c is right
mathstudent55
  • 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
  • mathstudent55
C. True
mathstudent55
  • mathstudent55
Now we do D. Do you know what a rhombus is?
anonymous
  • anonymous
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
mathstudent55
  • mathstudent55
Correct. A rhombus is a parallelogram with all 4 sides congruent. Is a square a parallelogram with all 4 sides congruent?
anonymous
  • anonymous
so d is right
mathstudent55
  • 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
  • mathstudent55
D. True E. False
anonymous
  • anonymous
thank for your help
anonymous
  • anonymous
and f is true
mathstudent55
  • mathstudent55
Part F. A square is a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel opposite sides.
mathstudent55
  • mathstudent55
Correct. F. True
mathstudent55
  • mathstudent55
Great job. I see you know your stuff!

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