9. Areas of Parallelograms and Triangles Class 9 Mathematics NCERT Exemplar Solutions (CBSE)
Chapter 9: Areas of Parallelograms and Triangles – Class 9 Mathematics NCERT Exemplar Solutions (CBSE Board)
Chapter 9: Areas of Parallelograms and Triangles
EXERCISE 9.1
Write the correct answer in each of the following :
1. The median of a triangle divides it into two
(A) triangles of equal area (B) congruent triangles
(C) right triangles (D) isosceles triangles
2. In which of the following figures (Fig. 9.3), you find two polygons on the same base and between the same parallels?
(A) (B)(C) (D)
Fig. 9.3
3. The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is :
(A) a rectangle of area 24 cm2
(B) a square of area 25 cm2
(C) a trapezium of area 24 cm2 (D) a rhombus of area 24 cm2
4. In Fig. 9.4, the area of parallelogram ABCD is :
(A) AB × BM
(B) BC × BN
(C) DC × DL
(D) AD × DL
5. In Fig. 9.5, if parallelogram ABCD and rectangle ABEF are of equal area, then :
(A) Perimeter of ABCD = Perimeter of ABEM
(B) Perimeter of ABCD < Perimeter of ABEM
(C) Perimeter of ABCD > Perimeter of ABEM
(D) Perimeter of ABCD = 12
(Perimeter of ABEM)
Fig. 9.5
6. 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
(A) 12ar (∆ABC)
(B) 13ar(∆ABC)
(C) 14 ar(∆ABC)
(D) ar (∆ABC)
7. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
(A) 1 : 2 (B) 1 : 1 (C) 2 : 1 (D) 3 : 1
8. ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
(A) is a rectangle (B) is always a rhombus
(C) is a parallelogram (D) need not be any of (A), (B) or (C)
9. 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 (C) 3 : 1 (D) 1 : 4
10. ABCD is a trapezium with parallel sides AB =a
cm and DC =b
cm (Fig. 9.6). E and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) and ar (EFCD) is
(A) a : b
(B) (3a + b) : (a + 3b)
(C) (a + 3b) : (3a + b)
(D) (2a + b) : (3a + b)
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