NCERT Class 9 Physics Area of Triangle and Parallelogram Formative Assessment Part 2

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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?

The triangle BED

The Triangle BED

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(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

ABCD, diagonal BD and AC

ABCD, Diagonal BD and AC

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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

ABD=Area of triangle

ABD=Area of Triangle

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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

Calculate area for each of these triangle

Calculate Area for Each of These Triangle

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Match the column

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