Quadrilaterals Test - 1

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Quadrilaterals Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The angles of quadrilateral are in the ratio 2 : 3 : 5 : 8. The smallest angle is

A
60°

B
40°

C
20°

D
50°

Solution

Let the angle be 2x,3x, 5x, 8x Sum of angles of quadrilateral = 360°

⇒ 2x + 3x + 5x + 8x = 360°

⇒ 18x = 360^∘ = x = 20^∘

∴ smallest angle = 2x = 40^∘
Question 2
1 / -0

A rectangle in which the diagonals are perpendicular is called a _____

A
Rhombus

B
Square

C
Both A & B

D
None of these

Solution

This is property of rhombus.
Question 3
1 / -0

The angles of a quadrilateral are in the ratio 6 : 7 : 8 : 9, then which of the following can be concluded?

A
Exactly two angles are obtuse

B
Two pairs of angles are supplementary

C
Both A & B

D
None of these

Solution

∠are 6x, 7x, 8x, 9x ⇒ 6x + 7x + 8x + 9x = 360^∘− 30x − 360^∘

∴ x = 12^∘ ⇒∠are : 72^∘, 84^∘, 96^∘, 108^∘

Two ∠ are OBTUSE Also, 72^∘+ 108^∘= 180^∘and 84^∘+ 96^∘= 180^∘ ⇒ two pairs are supplementary
Question 4
1 / -0

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1:2:3:4, Then the measure of each angles of the quadrilateral is

A
36°, 72°, 108°, 144°

B
45°, 110°, 55°, 150°

C
15°, 130°, 45°, 150°

D
none of these
Question 5
1 / -0

The ratio of two sides of a parallelogram is as 3 : 5, and its perimeter is 48 m, then the sides of the parallelogram is

A
9 m, 15 m

B
3 m, 5 m

C
33 m, 25 m

D
none of these

Solution

Let sides of parallelogram be 3x, 5x, 3x, 5x (since opposite side of parallelogram are equal).

⇒ 3x + 5x + 3x + 5x ⇒ 16x = 48 = x = 3 ⇒ 3x = 9 and 5x = 15.
Question 6
1 / -0

The opposite angles of a parallelogram are (3x + 5)^∘ and (61 − x)^∘. Find the measure of four angles.

A
47°, 133°, 47°, 133°

B
80°, 100°, 80°, 100°

C
77°, 103°, 77°, 103°

D
94°, 86°, 94°, 86°

Solution

Opposite ∠s of parallelogram are equal. ⇒ 3x + 5 = 61 − x ⇒ 4x = 56 = x = 14^∘ ⇒ 3x + 5 = 47^∘.

Adjacent Δ^1e = 180^∘− 47^∘= 133^∘ Δ are 47^∘,133^∘,47^∘,133^∘

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Re-Attempt Weekly Quiz Competition

Quadrilaterals Test - 1

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Quadrilaterals Test - 1

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Question 1

60°

40°

20°

50°

Solution

Question 2

Rhombus

Square

Both A & B

None of these

Solution

Question 3

Exactly two angles are obtuse

Two pairs of angles are supplementary

Both A & B

None of these

Solution

Question 4

36°, 72°, 108°, 144°

45°, 110°, 55°, 150°

15°, 130°, 45°, 150°

none of these

Question 5

9 m, 15 m

3 m, 5 m

33 m, 25 m

none of these

Solution

Question 6

47°, 133°, 47°, 133°

80°, 100°, 80°, 100°

77°, 103°, 77°, 103°

94°, 86°, 94°, 86°

Solution

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