Quadrilaterals Test

Result

Quadrilaterals Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

In a quadrilateral ABCD, ∠A = 2 ∠B, ∠C = 80^o and ∠D = 100^o. What is the measure of ∠B?

A
100^o

B
80^o

C
60^o

D
40^o

Solution

In quadrilateral ABCD,

∠A + ∠B + ∠C + ∠D = 360° [Sum of angles of a quadrilateral is 360°.]
2 ∠B + ∠B + ∠C + ∠D = 360°
3 ∠B + 80° + 100° = 360°
3 ∠B = 360° - 180°
3 ∠B = 180°
Question 2
1 / -0

Diagonals of a _________ do not bisect each other.

A
parallelogram

B
rectangle

C
square

D
kite

Solution

Diagonals of a kite do not bisect each other.
Question 3
1 / -0

Which of the following statements is true?

A
All the sides of a parallelogram are equal.

B
All the angles of a parallelogram are equal.

C
The opposite sides of a parallelogram are parallel.

D
Parallelograms are also known as kites.

Solution

The opposite sides of a parallelogram are parallel.
Question 4
1 / -0

In a quadrilateral ABCD, ∠A : ∠B : ∠C = 8 : 9 : 10 and ∠D = 90°. What is the measure of ∠C?

A
10°

B
80°

C
90°

D
100°

Solution

∠A : ∠B : ∠C = 8 : 9 : 10
And ∠D = 90°
Suppose, ∠A = 8x.

Then, ∠B = 9x and ∠C = 10x
Also, ∠A + ∠B + ∠C + ∠D = 360° [Angle sum property of quadrilaterals]

8x + 9x + 10x + 90° = 360°
27x = 360° - 90°
27x = 270°