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Areas of Parall...

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  • Question 1
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    If ABC XYZ, which of the following options is true?

  • Question 2
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    If KLMN is a parallelogram and KOL is a triangle with area x m2, then the area of KLMN is

  • Question 3
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    In the given figure, ABSP and ABQR are parallelograms.



    If PS = 6 units and SD = 5 units, the area of parallelogram ABQR is equal to _____.

  • Question 4
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    In the given figure, ABSP and ABQR are two parallelograms.



    If the area of the parallelogram ABQR is 20 cm2 and SD = 4 cm, then the length of AB is

  • Question 5
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    MNO ABC. If the altitude and base of MNO are x and y, respectively, ar(ABC) is equal to _____.

  • Question 6
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    In the given figure, ABCD is a parallelogram and ABP is a triangle. If ar(APB) = 16 sq. units, ar(ADP) + ar(BCP) will be _____.

  • Question 7
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    ABC and PQR are two congruent right triangles, right-angled at B and Q, respectively. In ABC, AB = 4 units and AC = 5 units. The area of PQR is equal to

  • Question 8
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    In the given figure, ABCD is a trapezium. If DP || BC, then which of the following relationships is true?

  • Question 9
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    ABCD and PQRS are two parallelograms with equal area and sides, i.e. AB = PQ. Which of the following relations is true?

  • Question 10
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    In the given figure, DAB = ABC.



    If 1 = 2, then which of the following relationships is true?

  • Question 11
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    Which of the following options includes figures on the same base and between the same parallels?

  • Question 12
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    In the given figure, if ar(PQR) = 17 sq. units, ar (XYZ) is _____.

  • Question 13
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    Which of the following options includes figures on the same base?

  • Question 14
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    If two triangles are congruent, it can be said that

  • Question 15
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    ABCD and ABPQ are two parallelograms on the same base AB and between the same parallels. Which of the following relationships is true?

  • Question 16
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    MNO and ABC are two congruent isosceles triangles with base measuring 7 cm and altitude measuring 6 cm. Find the areas of MNO and ABC.

  • Question 17
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    In the given figure, if || m and AB = PQ, then which of the following statements is true?

  • Question 18
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    DEF and PQR are two congruent equilateral triangles. The side PQ of PQR is 4 cm. The area of DEF is equal to _____.

  • Question 19
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    Which of the following options represents different figures on the same base and between the same parallels?

  • Question 20
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    In the given figure, ABED is a rectangle and ABCF is a parallelogram.



    If the area of ABED = y cm2, then the area of ABCF is

  • Question 21
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    In the given figure, ABCD and PQCD are two parallelograms.



    Which of the following relationships is true?

  • Question 22
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    In the given figure, ABCD and PQCD are two parallelograms.



    Which of the following relationships is true?

  • Question 23
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    In the given figure, ABCD and ABPQ are two parallelograms on the same base AB. If ar(ABCD) = x sq. units and ar(ABPQ) = y sq. units, then which of the following relationships is true?

  • Question 24
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    In the given figure, || m, AD || BC and AE || BD.



    If the area of parallelogram ABCD is 46 sq. units, then the area of AED is equal to

  • Question 25
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    Directions: In the given figure, line || m, AD || BC and AE || BD.



    If ar(ABDE) = 50 sq. units, the ar(ABCD) = ______.

  • Question 26
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    In the given figure, PQRS is a parallelogram and PQM is a triangle. If ar(PQM) = 'a' sq. units and ar(PQRS) = 'b' sq. units, then which of the following relationships is true?

  • Question 27
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    In the given figure, if || m, then which of the following relationships is true?

  • Question 28
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    In the given figure, ABDC and KLCD are two parallelograms.



    If the area of trapezium CLBD is 150 cm2 and that of DBK is 50 cm2, then what is the area of ABDC?

  • Question 29
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    In the given figure, ABCD is a rectangle and ABEF is a parallelogram. If AB = 4 cm and BC = 3 cm, then the area of ABEF is


  • Question 30
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    If ABCD and ABDE are two parallelograms and ar(ABCD) – ar(ABDE) = a cm2, then a is

  • Question 31
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    In the given figure, ABCD is a parallelogram and ABP is a triangle. If ar(ABCD) = 22 sq. units, ar(ABP) will be

  • Question 32
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    In the given figure, CD || BQ, ABCD is a parallelogram and CDQP is a rectangle. If AB = x, then PQ is equal to

  • Question 33
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    In the given figure, if AB || CD, AB = CD and CN is perpendicular to AB (produced), then which of the following relationships is true?

  • Question 34
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    In the given figure, if ar(PBC) = 20 sq. units, ar(ABPC) = _____.

  • Question 35
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    If CN AB and AD || BC, then which of the following relationships is true?

  • Question 36
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    In the given figure, if AD || BC, AD = BC and CN is perpendicular to AB (produced), which of the following relationships is true?

  • Question 37
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    In the given figure, p || q and BC || AD.



    If ar(ABE) = 16 cm2, then ar(ABCD) is equal to

  • Question 38
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    In the given figure, p || q and BC || AD.



    If ar(ABCD) = 50 cm2, then ar(ABE) is equal to

  • Question 39
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    In ABC and PQR, AB = PQ, BC = QR and AC = PR. If ar(ABC) = 20 sq. units, ar(PQR) = ______.

  • Question 40
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    In the given figure, ABCD is a parallelogram. Which of the following relationships is correct?

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