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9th Class - Math | Chapter: Areas of Parallelogram and Triangles MCQs

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Q1) If ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 10 cm, AE = 6 cm and CF = 5 cm, then AD is equal to

(A) 10cm

(B) 6cm

(D) 15cm

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Q2) If E, F, G and H are the mid-points of the sides of a parallelogram ABCD, respectively, then ar (EFGH) is equal to

(A) 1/2 ar(ABCD)

(B) ¼ ar(ABCD)

(D) ar(ABCD)

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Q3) If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then

(A) ar(APB) > ar(BQC)

(B) ar(APB) < ar(BQC)

(D) None of the above

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Q4) If ABCD and EFGH are two parallelograms between same parallel lines and on the same base, then

(A) ar (ABCD) > ar (EFGH)

(B) ar (ABCD) < ar (EFGH)

(D) None of the above

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Q5) Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

(A) 1 : 2

(B) 1 : 1

(D) 3 : 1

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Q6) ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

(A) rectangle

(B) rhombus

(D) need not be any of (a), (b) or (c)

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Q7) If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

(A) 1 : 3

(B) 1 : 2

(D) 1 : 4

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Q8) The median of a triangle divides it into two

(A) isosceles triangle

(B) congruent triangles

(D) triangles of equal areas

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Q9) PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(ΔPBS) + ar(ΔASR) is equal to

(A) 96 cm²

(B) 36 cm²

(D) 24 cm²

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Q10) A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is

(A) 24 cm²

(B) 18 cm²

(D) 36 cm²

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Q11) ABCD is a trapezium in which AB || DC. If ar(ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

(A) 3 cm

(B) 6 cm

(D) 4 cm

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Q12) PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(ΔQSR) is

(A) 1 : 2

(B) 1 : 4

(D) 2 : 1

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Q13) In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is

(A) 24 cm²

(B) 12 cm²

(D) 36 cm²

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Q14) D and E are the mid-points of BC and AD respectively. If ar(ΔABC) = 12 cm², then ar(ΔBDE) is

(A) 5 cm²

(B) 6 cm²

(D) 9 cm²

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Q15) A median of a triangle divides it into two

(A) Congruent triangles

(B) Isosceles triangles

(D) Equal area triangles

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Q16) In a triangle ABC, E is the mid-point of median AD. Then

(A) ar(BED) = 1/4 ar(ABC)

(B) ar(BED) = ar(ABC)

(D) ar(BED) = 2 ar(ABC)

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Q17) If D and E are points on sides AB and AC respectively of ΔABC such that ar(DBC) = ar(EBC). Then

(A) DE is equal to BC

(B) DE is parallel to BC

(D) DE is perpendicular to BC

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Q18) If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then

(A) ar (AOD) = ar (BOC)

(B) ar (AOD) > ar (BOC)

(D) None of the above

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Q19) If Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Then ABCD is a

(A) Parallelogram

(B) Rectangle

(D) Trapezium

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Q20) If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram will be

(A) 1:2

(B) 3:2

(D) 1:3

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9th Class - Math | Chapter: Areas of Parallelogram and Triangles MCQs

Q1) If ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 10 cm, AE = 6 cm and CF = 5 cm, then AD is equal to

Q2) If E, F, G and H are the mid-points of the sides of a parallelogram ABCD, respectively, then ar (EFGH) is equal to

Q3) If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then

Q4) If ABCD and EFGH are two parallelograms between same parallel lines and on the same base, then

Q5) Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

Q6) ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

Q7) If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is

Q8) The median of a triangle divides it into two

Q9) PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(ΔPBS) + ar(ΔASR) is equal to

Q10) A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is

Q11) ABCD is a trapezium in which AB || DC. If ar(ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

Q12) PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(ΔQSR) is

Q13) In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is

Q14) D and E are the mid-points of BC and AD respectively. If ar(ΔABC) = 12 cm², then ar(ΔBDE) is

Q15) A median of a triangle divides it into two

Q16) In a triangle ABC, E is the mid-point of median AD. Then

Q17) If D and E are points on sides AB and AC respectively of ΔABC such that ar(DBC) = ar(EBC). Then

Q18) If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then

Q19) If Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Then ABCD is a

Q20) If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram will be

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