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Quadrilaterals Review

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  • If the polygon shown below is a regular nonagon, what is the value of x?
    40 degrees
  • If PQRS is a rectangle, PR = 9x + 1, and QS = 13x – 11, find TR.
    TR = 14
  • In parallelogram WXYZ, if XZ = 8x – 18 and RZ = 2x + 5, find XR.
    19
  • If RSTU is a rhombus, find m∠UTS.
    106 degrees
  • In parallelogram WXYZ, if m∠XYZ = 68° and m∠WXZ = 71°, find m∠WZX.
    41 degrees
  • A regular hexagon is shown below. Find the value of x.
    x = 9
  • If the sum of the interior angles of a polygon is 2340°, how many sides does the polygon have? a. 11 / b. 13 / c. 15 / d. 16
    c. 15 sides
  • Choose the correct answer for the following proof: a. ASA / b. SSS / c. AAS / d. SAS
    d. SAS
  • Determine whether WXYZ is a parallelogram: W(0, 8), X(6, 10), Y(-1, -1), Z(-7, -3).
    Yes, opposite sides are parallel.
  • A shape is constructed so that exactly one pair of sides is parallel. Which shape could be the answer? a. rectangle / b. rhombus / c. parallelogram / d. trapezoid
    d. Trapezoid
  • What is the sum of the measures of the interior angles of a 27-gon? a. 4860 / b. 4500 / c. 5220 / d. 166.7
    b. 4500
  • Find measure of angle M.
    Measure of angle M = 67 degrees