Quadrilaterals Test

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Quadrilaterals Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The angles of a quadrilateral, taken in order, measure x, x + 20, x + 30 and x + 50 degrees. This quadrilateral is a

A
parallelogram

B
rhombus

C
trapezium

D
square

Solution

Angles of a quadrilateral add up to 360^o.

∴ x + (x + 20) + (x + 30) + (x + 50) = 360^o
4x + 100 = 360
4x = 260
^∴x = 65^o

∴ 1^st angle = x = 65^o
2^nd angle = x + 20 = 65 + 20 = 85^o
3^rd angle = x + 30 = 65 + 30 = 95^o
4^th angle = x + 50 = 65 + 50 = 115^o
Question 2
1 / -0

ABCD is a quadrilateral. If AC and BD bisect each other, then ABCD is a

A
square

B
rectangle

C
parallelogram

D
rhombus

Solution

ABCD is a quadrilateral. AB = BC = CD = DA and ∠ A = ∠ B = ∠ C = ∠ D = 90°
Then ABCD can be called A SQUARE.
Question 3
1 / -0

In a parallelogram ABCD, if ∠A = 60°, then ∠B, ∠C and ∠D are respectively

A
50°, 130°, 130°

B
120°, 60°, 120°

C
120°, 120°, 60°

D
130°, 50°, 50°

Solution

In a parallelogram ABCD, if ∠A = 60°, then ∠C = ∠A = 60
Question 4
1 / -0

In a parallelogram ABCD, AB = 4 cm and BC = 8 cm. Each of its diagonals is less than

A
3 cm

B
4 cm

C
7 cm

D
12 cm

Solution

In a parallelogram ABCD, AB = 4 cm and BC = 8 cm. Each of its diagonals is less than 12 cm because if we apply pythagorus theorem on a rectangular parallelogram, the diagonal will comes out to be 9 cm which is less than 12 cm.
Question 5
1 / -0

ABCD is a quadrilateral. AB = BC = CD = DA and ∠A = ∠B = ∠C = ∠D = 90°. Then ABCD is

A
a rhombus

B
a square

C
a parallelogram

D
all of the above
Question 6
1 / -0

In a square ABCD, its diagonals bisect at O. Then the triangle AOB is

A
an equilateral triangle

B
an isosceles but not right angled triangle

C
a right angled but not an isosceles triangle

D
an isosceles right angled triangle
Question 7
1 / -0

Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

A
1 : 1

B
√2 : 1

C
1 : 3

D
1 : 2

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Quadrilaterals Test - 6

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Quadrilaterals Test - 6

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Question 1

parallelogram

rhombus

trapezium

square

Solution

Question 2

square

rectangle

parallelogram

rhombus

Solution

Question 3

50°, 130°, 130°

120°, 60°, 120°

120°, 120°, 60°

130°, 50°, 50°

Solution

Question 4

3 cm

4 cm

7 cm

12 cm

Solution

Question 5

a rhombus

a square

a parallelogram

all of the above

Question 6

an equilateral triangle

an isosceles but not right angled triangle

a right angled but not an isosceles triangle

an isosceles right angled triangle

Question 7

1 : 1

√2 : 1

1 : 3

1 : 2

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