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
(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
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
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
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