# NCERT Class 9 Physics Area of Triangle and Parallelogram Formative Assessment Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 6

In the below figure AD is the median, and E is mid-point on AD. If the area of triangle is 16 , what is the area of the triangle BED?

(a) 3

(b) 4

(c) 5

(d) None of these

Solution b

Question 7

PQRS is a quadrilateral whose diagonal bisect each other at right angles

a) PQRS is a Square

b) PQRS is a rectangle

C) PQRS is a rhombus

d) None of these

Solution (c)

Question 8

In a quadrilateral ABCD, diagonal BD and AC intersect at point X

Which of the following is true?

(a)

(b)

(c) Insufficient information

(d) None of these

Solution (a)

Hint, Draw perpendicular from A and C on BD and the calculate the area of each these piece and arranged them to get the solution

Question 9

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

a) 1: 2

b) 1: 1

c) 1: 4

d) None of these

Solution (b)

Question 10

In a triangle A, B, C, D and E are such point BD = DE = EC

Which of the following is true?

a) Area of triangle ABD = Area of triangle ADE = Area of triangle AEC

b) Area of triangle Area of triangle ABC

c) Triangle ABD is congruent to triangle AEC

d) None of the above

Solution (a) , (b)

Hint: Draw perpendicular from A on BC and then calculate area for each of these triangle and you will find it same

Match the column

 Area of the triangle is , Area of rectangle is Area of the parallelogram is 100 . Both the Diagonal are drawn which cut the area into four pieces. The area of each piece is In a triangle ABC, all the median intersect at point G. If the area of the triangle is 150 . what is the area of the triangle AGC Area of the triangle is 20 , Area of rectangle is

Solution

a) 40

b) 25

C) 50

d) 10

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