Areas of parallelograms and triangles Worksheet 1

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Name

Class/Sec

1. A diagonal of a parallelogram divides it into two triangles having

unequal area

equal area

areas in the ratio 1:2

having areas in the ratio 2:1

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2. BD is diagonal of parallelogram ABCD. If area of triangle ABD is 120 square cm then area of triangle BCD will be

240 sq cm

120 sq cm

60 sq cm

100 sq cm

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3. Parallelograms on the same base and between same parallels are

equal in area

unequal in area

both the above are possible

no relation between their areas exist

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4. The area of a triangle is equal to the product of any of its side and

corresponding median

corresponding altitude

any altitude

any median

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5. If a parallelogram and a rectangle are on the same base and between same parallels then

their areas are always equal

their areas may or may not be equal

we cannot say anything about their areas

area of rectangle will be double the area of parallelogram

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6. If a triangle and a parallelogram are on the same base and between same parallels then

area of triangle = 2 (area of parallelogram)

area of triangle = 1/2 (area of parallelogram

area of triangle = 1/3 (area of parallelogram)

area of triangle = 1/4 (area of parallelogram)

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7. Which of the following divides a triangle into two triangles having equal area?

altitude

angle bisector

median

perpendicular bisector of side

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8. AD is one of the medians of triangle ABC. X is any point on the median. Which of the following is true?

ar (ABX) = ar (DBX)

ar(ABX) = ar (CXD)

ar(ABX) = ar (ACX)

ar (ACX) = ar (CXD)

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9. In a triangle ABC, E is the mid-point of AD. Which of the following is false?

ar (BED) = ar (CED)

ar(BED) = ar (BEA)

ar (ABD ) = 1/2 ar (ABC)

ar (EDC) = 2 ar (AEC)

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10. Medians of triangle ABC intersect at G. If ar (ABC) = 30 sq cm, then ar (BGC) will be

15 sq cm

30 sq cm

20 sq cm

10 sq cm

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11. Two parallelograms are on the same base and between same parallels. The ratio of their areas is

2:1

1:2

1:1

1:3

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12. ABCD is a rectangle with O as any point in its interior. If ar (AOD) = 4 sq cm and ar (BOC) = 8 sq cm, then the area of rectangle ABCD is

12 sq cm

24 sq cm

36 sq cm

6 sq cm

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