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

Get top class preparation for IEO right from your home: fully solved questions with step-by-step explanation- practice your way to success.

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