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Areas of Parall...

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  • Question 1
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    Use the following information to answer the next question.

    In the given figure, BG ⊥ AD and CH ⊥ AD. ABCF and BCDE are parallelogram.



     

    If BG = 12 cm and ED = 6 cm, then what is the area of ΔABF?

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

    A parallelogram ABCD and a rectangle ABEF are constructed on the same base AB and the parallel line CF, as shown in the figure. The area of the parallelogram ABCD is A1 and the area of the rectangle is A2.

    What is the relation between A1 and A2?

  • Question 3
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    Use the following information to answer the next question.

    In the given figure, side RS of parallelogram PQRS is extended on both sides to points T and U, such that triangles PQU and PQT are formed.

    If the area of the parallelogram PQRS is 600 cm2, then what are the respective areas of ΔPQU and ΔPQT?

  • Question 4
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    In the given figure, AB||CD, AC||DE and CE||BD. What is the value of ?

     

  • Question 5
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    Use the following information to answer the next question.

    In the given figure, ABCD is a rectangle and EBCF is a rhombus. The length of CE is 6 cm.

    If the area of rectangle ABCD is 42 cm2, then what is the measure of BF?

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

    The given figure shows ΔABC and ΔABD that have the same area. It is also given that OC = OD and ∠OBA = 46°.

    What is the measure of ∠DAB?

  • Question 7
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    Use the following information to answer the next question.

    The given figure shows a parallelogram ABCD where E and F are points on the side AB and DC respectively.

    Which of the following relations is true?

  • Question 8
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    Use the following information to answer the next question.

    In the given figure, PQRS is a quadrilateral. A line is drawn from S parallel to diagonal PR which meets QR produced at T.

    What is the value of ?

  • Question 9
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    In the given figure, ABDE and BCDE are parallelograms and EF ⊥ AB and BG ⊥ CD. If AB = 4 cm, EF = 6 cm and CD = 8 cm, then what is the measure of BG?

     

  • Question 10
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    Use the following information to answer the next question.

    In the given figure, E is any point on the line AB of parallelogram ABCD and AF ⊥ DC.

    If AF = 7 cm and AB = 12 cm, then what is the area of ΔDEC?

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