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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    @mathmate

  2. anonymous
    • one year ago
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    @laughoutloud

  3. mathstudent55
    • one year ago
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    |dw:1438642548042:dw|

  4. mathstudent55
    • one year ago
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    What is the definition of a square?

  5. anonymous
    • one year ago
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    a plane figure with four equal straight sides and four right angles

  6. mathstudent55
    • one year ago
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    Good. Let's go through each part.

  7. anonymous
    • one year ago
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    i think it f and d

  8. mathstudent55
    • one year ago
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    It has 4 right angles. Part A. Does that make it so that consecutive sides are perpendicular?

  9. anonymous
    • one year ago
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    yes

  10. mathstudent55
    • one year ago
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    Correct, so part A . is true.

  11. mathstudent55
    • one year ago
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    Part B. Angles W and X are both right angles. Are they congruent?

  12. anonymous
    • one year ago
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    yes

  13. mathstudent55
    • one year ago
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    Correct. Part B. True.

  14. mathstudent55
    • one year ago
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    Part C. What are supplementary angles?

  15. anonymous
    • one year ago
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    e is wrong

  16. mathstudent55
    • one year ago
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    |dw:1438642905851:dw|

  17. mathstudent55
    • one year ago
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    You're on part E already?

  18. anonymous
    • one year ago
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    x an y i think

  19. mathstudent55
    • one year ago
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    I don't understand your answer. Let's look at part C. The question deals with supplementary angles. What are supplementary angles?

  20. anonymous
    • one year ago
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    angle add up to 180

  21. mathstudent55
    • one year ago
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    Definition of Supplementary Angles: Two angles are supplementary if their measures have a sum of 180 degrees.

  22. anonymous
    • one year ago
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    so c is right

  23. mathstudent55
    • one year ago
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    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.

  24. mathstudent55
    • one year ago
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    C. True

  25. mathstudent55
    • one year ago
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    Now we do D. Do you know what a rhombus is?

  26. anonymous
    • one year ago
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    a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

  27. mathstudent55
    • one year ago
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    Correct. A rhombus is a parallelogram with all 4 sides congruent. Is a square a parallelogram with all 4 sides congruent?

  28. anonymous
    • one year ago
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    so d is right

  29. mathstudent55
    • one year ago
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    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.

  30. mathstudent55
    • one year ago
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    D. True E. False

  31. anonymous
    • one year ago
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    thank for your help

  32. anonymous
    • one year ago
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    and f is true

  33. mathstudent55
    • one year ago
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    Part F. A square is a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel opposite sides.

  34. mathstudent55
    • one year ago
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    Correct. F. True

  35. mathstudent55
    • one year ago
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    Great job. I see you know your stuff!

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