Page 56 - Mathematics Class - IX

Viva-Voce

1. If a median divides the triangles in two parts, what will be the area of the triangles so formed?
Ans. Area of two triangles will be same.

2. Two squares are lying on the same base and having same height. If area of one square is 144 cm , what will
2
be the side of another square?
Ans. 12 cm
3. If two triangles have same areas, then the triangles are congruent or not?

Ans. No
4. A triangle and a parallelogram are on the same base and between same parallels. If the area of a triangle is
6 cm , what will be the area of parallelogram?
2
Ans. 12 cm 2
5. If two triangles are on the same base and have equal area, what will be their heights?
Ans. Their heights will be equal.

MCQs

1. If the lengths of diagonals of a rhombus are 12 cm and 18 cm, the area of rhombus is

a) 180 cm b) 108 cm c) 144 cm d) 324 cm 2
2
2
2
2. ABCD is a parallelogram and P is any point on the side AD. If ar (∆BAP) = 10 cm and ar (∆CPD) = 30 cm ,
2
2
find ar (|| gm ABCD).
a) 160 cm b) 60 cm c) 80 cm d) 150 cm 2
2
2
2
3. The area of a rectangle PQRS is 50 cm . If A is any point on PQ, the area of ∆ARS is
2
a) 25 cm b) 50 cm c) 100 cm d) 12.5 cm 2
2
2
2
4. AD is the median of ∆ABC. If ar (∆ABD) = q cm and ar (∆ABC) = p cm . The relation between
2
2
p and q is
1
a) q = 2p b) p = 2q c) q = p d) q = p
3
5. P and Q are two points lying on the sides BC and AD of the parallelogram ABCD. The relation between ar
(∆APB) and ar (∆BQC) is
a) equal b) ar (∆APB) > ar (∆BQC)
c) ar (∆APB) < ar (∆BQC) d) None of these

[Note: Area is written in short as ar. For example, area of ∆ABC is written as ar (∆ABC).]

Answers: 1. b) 108 cm 2. c) 80 cm 3. a) 25 cm 2
2
2
4. b) p = 2q 5. c) ar (∆APB) < ar (∆BQC)

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