Geometry Question

What is the perimeter of parallelogram ABCD, and what is AC?

perimeter =

AC =

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The expressions 1012(245b?365)1012(245??365) and 23(3b+6)23(3?+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b is WXYZ a rectangle?

b = 

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Describe a method to test whether a parallelogram is a rectangle, if you do not know the angle measures.

To prove that a particular parallelogram is a rectangle, you can check if the  Choose… opposite sides diagonals opposite angles   Choose… are congruent. bisect each other.  .

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Which expression can be used to represent the area of parallelogram PQRS?

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What is the most precise term for each parallelogram described below?

A parallelogram with diagonals that are congruent and perpendicular is a  Choose… rhombus square  .
A parallelogram with diagonals that are perpendicular, but not always congruent, is a  Choose… square rhombus  .

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What is the measure of ?WZX in rhombus WXYZ?

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ABCD, diagonals BDïï??!nd ACïÿ?)ntersect at point E. If BE = 4n 3 and EC = 2n + 5, which expression can be used to represent AD?

• A.(2n+5)2+(4n?3)2(2?+5)2+(4??3)2
• B.2(2n+5)+2(4n?3)2(2?+5)+2(4??3)
• C.(2n+5)+(4n?3)?????????????????(2?+5)+(4??3)
• D.(2n+5)2+(4n?3)2??????????????????(2?+5)2+(4??3)2

Part B
If AC = 14, what is the measure of BD?

BD = 

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In rectangle PQRS, the diagonals intersect each other at point T. If PR = 9 and PQ = 7 what is the area of ??PQR? Round to the nearest tenth.

square units

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A rectangle with area 5000 square cm is 2 times as long as it is wide. What is the sum of the diagonals? Round to the nearest tenth.

• A.55.9 cm
• B.111.8 cm
• C.223.6 cm
• D.300.0 cm
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• Does the fact that YZ = WX lead to the proof that XYWZ is a parallelogram? Why or why not

  

  • A.Yes; all angles will be right angles, and so the sides are parallel.
  • B.No; both pairs of opposite sides can be congruent without being parallel.
  • C.Yes; if both pairs of opposite sides are congruent, they must also be parallel.
  • D.No; opposite angles may not be equal.
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  • x is JKLM a parallelogram

    

    • A.7
    • B.14
    • C.21
    • D.28
    • Part B
      If JKLM is a parallelogram, what is m?K?
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  • The diagonals of quadrilateral ABCD intersect at point K. Is each of the following needed to prove that ABCD is a parallelogram?
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  • Which condition is sufficient to show that quadrilateral DEFG is a parallelogram?
    • A.?GDE???? is supplementary to ?DEF????
    •  B.?GDE???? is supplementary to ?EFG????
    • C.?GDE???? is supplementary to ?DEF???? and ?EFG????
    • D.?GDE???? is congruentl to ?FGD
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  • In quadrilateral PQRS, the exterior angle at Q when PQïÿ?/em>is extended measures 155 and PS = QR. What measure of ?PSR would confirm that PQRS is a parallelogram?
    m?PSR =