Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.3>Q 1

MEDIUM

8th CBSE

IMPORTANT

Earn 100

If $A B C D$ is a rhombus, find the measure of $∠ A D C$ , given that $∠ B A C = 55 °$ .

Important Questions on Understanding Quadrilaterals

EASY

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.3>Q 2

ABCD

is a rhombus whose diagonals intersect at

O . I f AB = 10 cm,

diagonal

BD = 16 cm

, find the length of diagonal

AC .

EASY

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.3>Q 3

If the diagonals of a rhombus are

12 cm and 16 cm

, find the length of each side.

HARD

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.3>Q 4

ABCD

is a rhombus in which altitude from

D

to side

AB

bisects

AB

. Find the angles of the rhombus.

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.4>Q 1

A B C

is a right-angled triangle and

O

is the mid-point of the side opposite to the right angle. Explain why

O

is equidistant from

A, B

and

C

. (The dotted lines are drawn additionally to help you.)
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MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.4>Q 2

SKIN is a rectangle. Its diagonals meet at

O

. If

OS = 3 x + 8

and

OK = 5 x + 2

, then find

x

.

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.4>Q 3

The diagonals of a rectangle

ABCD

intersect at

O

. If

∠ BOC = 44 °

, find

∠ OAD

.

EASY

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>EXERCISE 12.4>Q 4

In a rectangle

A B C D

, prove that

△ A C B ≅ △ C A D

.

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 12 - Understanding Quadrilaterals>HOTS QUESTIONS>Q 1

The diagonals of a rectangle $PQRS$ intersect at $O$ . If $∠ Q O R = 56 °$ , find $∠ O P Q$ .

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