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Areas of Parall...

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  • Question 1
    1 / -0

    Use the following information to answer the next question.

    The given figure shows ΔABC in which AD is the median of the triangle. P is the mid-point of DC and PQ is parallel to AB.

    If the area of ΔPQC is 6 cm2, then what is the area of ΔABC?

  • Question 2
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    Use the following information to answer the next question.

    In the given figure, l||m, PB||AC, and AB||QC.

    If AB = 10 cm, PM = 6 cm, and QN = 8 cm, then what is the length of AC?

  • Question 3
    1 / -0

    Use the following information to answer the next question.

    The given figure shows ΔABC in which D, E, and F are points on the side BC such that BD = DF = FC and DE = EF.

    If the area of ΔABD is 10 cm2, then what is the area of ΔAEC?

  • Question 4
    1 / -0

    Use the following information to answer the next question.

    In the given figure, l||m, n||PB, AB||CD, and BX||PY.

    If the area of ΔPBY is 15 cm2, then what is the area of quadrilateral ABCD?

  • Question 5
    1 / -0

    Use the following information to answer the next question.

    In the given figure, ABCD is a rhombus and PQCB is a rectangle.

    If AC = 12 cm and BD = 16 cm, then what is the measure of PB?

  • Question 6
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    Use the following information to answer the next question.

    The given figure shows a parallelogram PQRS in which A and B are any two points in the interior region. AS and BP intersect each other at C, while AR and QB intersect each other at D.

    If area (ASBR) = 35 cm2 and area (ACBD) = 20 cm2, then what is the area of the shaded portion?

  • Question 7
    1 / -0

    Use the following information to answer the next question.

    The given figure shows a quadrilateral ABCD in which the diagonals intersect each other at point O. Area (ΔAOD) = 11 cm2, Area (ΔOBC) = 53 cm2, and Area (ΔDOC) = 23 cm2.

    What is the area of quadrilateral ABCD?

  • Question 8
    1 / -0

    Use the following information to answer the next question.

    The given figure shows a quadrilateral ABCD. A line drawn from A parallel to BD intersects CD produced at Q. BP is a line parallel to CQ such that QP⊥BP.

    If CQ = 22 cm and PQ = 5 cm, then what is the area of quadrilateral ABCD?

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