AREA OF PARALLELOGRAM & TRIANGLES Class IX

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Quiz 1 made by Mrs. Pintu Prasad

1. The area of the figure formed by joining the mid-points of theadjacent sides of a rhombus with diagonals 12 cm and 16 cm is

3 points

(A) 48 cm^2

(B) 64 cm^2

(D) 192 cm^2

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2. The median of a triangle divides it into two

3 points

(A) triangles of equal area

(B) congruent triangles

C) right triangles

(D) isosceles triangles

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3. In which of the following figures (Fig.), you find two polygons on the same base and between the same parallels?

3 points

(A)

(B)

(C)

(D)

Clear selection

4. The figure obtained by joining the mid-points of the adjacent sides of a rectangle ofsides 8 cm and 6 cm is

3 points

(A) a rectangle of area 24 cm^2

(B) a square of area 25 cm^2

(D) a rhombus of area 24 cm^2

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5. In Fig. , the area of parallelogram ABCD is

3 points

(A) AB × BM

(B) BC × BN

(D) AD × DL

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6. In Figure, if parallelogram ABCD and rectangle ABEF are of equal area, then

3 points

(A) Perimeter of ABCD = Perimeter of ABEM

(B) Perimeter of ABCD < Perimeter of ABEM

(D) Perimeter of ABCD =1/2 (Perimeter of ABEM)

Clear selection

7. The mid-point of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to

3 points

(A)1/2 ar (ABC)

(B)1/3 ar (ABC)

(D) ar (ABC)

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

3 points

(A) 1 : 2

(B) 1 : 1

(D) 3 : 1

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9 ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area,then ABCD

3 points

(A) is a rectangle

(B) is always a rhombus

(D) need not be any of (A), (B) or (C)

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10. ABCD is a trapezium with parallel sides AB = a cm and DC = b cm (Fig.). E and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) and ar (EFCD) is

3 points

(A) a : b

(B) (3a + b) : (a + 3b)

(D) (2a + b) : (3a + b)

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