Quadrilaterals Test

Result

Quadrilaterals Test - 9

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Opposite angles of a Quadrilateral ABCD are equal. If AB = 4cm, find the length of CD.

A
2cm

B
4cm

C
3cm

D
5cm

Solution

A quadrilateral with both pair of opposite angles equal is a parallelogram.

In parallelogram, opposite sides are equal.

So, AB = CD = 4 cm
Question 2
1 / -0

In △ABC, EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.

A
3.5cm

B
3.4cm

C
3.6cm

D
2.6cm

Solution

E and F are mid points of sides AB and AC. By mid point theorem, EF is parallel to BC and EF is 1/2 of BC.

So, EF = 1/2 of (7.2) = 3.6 cm
Question 3
1 / -0

E Divides AB in the ratio 1 : 3 and also, F divides AC in the ratio 1 : 3. EF = 2.8cm, Find BC

A
11cm

B
12cm

C
11.5cm

D
11.2cm

Solution

Let AE = x and EB = 3x , AF = y and FC = 3y.

EF = 2.8 cm

AE + AF = 2.8 implies x + y = 2.8

BC = CF + FA + AE + EB

= 3y + y + x + 3x

= 4 ( x + y ) = 4 ( 2.8 ) = 11.2 cm
Question 4
1 / -0

Length of the line segment joining the mid-points of two sides of a Triangle is ......... the third side of the Triangle. Complete the Statement

A
Half the length of

B
One-Third the length of

C
Full the length of

D
None of these

Solution

According to mid point theorem , A line segment joining mid points of any two sides of a triangle is parallel to third side and length of that line segment is half of the third side.
Question 5
1 / -0

ABCD is a Trapezium in which AB∥DC and ∠A = ∠B = 45^∘. Find angles C and D of the Trapezium

A
120 ^∘, 120 ^∘

B
200 ^∘, 50 ^∘

C
150 ^∘, 150 ^∘

D
135 ^∘, 135 ^∘

Solution

AB is parallel to DC.

angle A + angle D = 180 ( co-interior angle)

angle D = 180 - 45 = 135

Similarly by following same argument, angle B = 135
Question 6
1 / -0

One Angle of a quadrilateral is of 108^∘ and the remaining three angles are equal. Find each of the three equal angles.

A
84 ^∘, 90 ^∘, 90 ^∘

B
90 ^∘, 90 ^∘, 84 ^∘

C
84 ^∘, 84 ^∘, 84 ^∘

D
90 ^∘, 84 ^∘, 90 ^∘

Solution

Let ABCD be a quadrilateral with angle A = 108 and angle B = angle C = angle D = x

Angle A + angle B + angle C + angle D = 360 ( angle sum property)

108 + x + x + x = 360

3x = 360 - 108

3x = 252

x = 84
Question 7
1 / -0

Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.

A
70 ^∘, 70 ^∘, 100 ^∘, 100 ^∘

B
60 ^∘, 80 ^∘, 100 ^∘, 90 ^∘

C
60 ^∘, 120 ^∘, 80 ^∘, 140 ^∘

D
60 ^∘, 80 ^∘, 80 ^∘, 140 ^∘

Solution

Let ABCD be a quadrilateral with angle A = 3x, angle B = 4x , angle C = 4x and angle D = 7x

angle A + angle B + angle C + angle D = 360 ( angle sum property)

3x + 4x + 4x + 7x = 360

18x = 360

x = 20

angle A = 3 ( 20) = 60

angle B = angle C = 4 ( 20) =80

angle D = 7 ( 20 ) = 140
Question 8
1 / -0

The angles of the quadrilateral are in the ratios 3 : 5 : 9 : 13. Find all the angles of the Quadrilateral

A
40 ^∘, 50 ^∘, 80 ^∘, 150 ^∘

B
36 ^∘, 60 ^∘, 108 ^∘, 154 ^∘

C
100 ^∘, 60 ^∘, 36 ^∘, 156 ^∘

D
36 ^∘, 60 ^∘, 108 ^∘, 156 ^∘

Solution

Let ABCD be a quadrilateral with angle A = 3x, angle B = 5x , angle C = 9x and angle D = 13x

Angle A + angle B + angle C + angle D = 360 ( angle sum property)

3x + 5x + 9x + 13x = 360

30x = 360

x = 12

angle A = 3 ( 12) = 36

angle B = 5 ( 12) =60

angle C = 9 ( 12 ) = 108

angle D = 13 ( 12 ) = 156

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Quadrilaterals Test - 9

Result

Quadrilaterals Test - 9

Score

-

Rank

-

SHARING IS CARING

Question 1

2cm

4cm

3cm

5cm

Solution

Question 2

3.5cm

3.4cm

3.6cm

2.6cm

Solution

Question 3

11cm

12cm

11.5cm

11.2cm

Solution

Question 4

Half the length of

One-Third the length of

Full the length of

None of these

Solution

Question 5

120 ∘, 120 ∘

200 ∘, 50 ∘

150 ∘, 150 ∘

135 ∘, 135 ∘

Solution

Question 6

84 ∘, 90 ∘, 90 ∘

90 ∘, 90 ∘, 84 ∘

84 ∘, 84 ∘, 84 ∘

90 ∘, 84 ∘, 90 ∘

Solution

Question 7

70 ∘, 70 ∘, 100 ∘, 100 ∘

60 ∘, 80 ∘, 100 ∘, 90 ∘

60 ∘, 120 ∘, 80 ∘, 140 ∘

60 ∘, 80 ∘, 80 ∘, 140 ∘

Solution

Question 8

40 ∘, 50 ∘, 80 ∘, 150 ∘

36 ∘, 60 ∘, 108 ∘, 154 ∘

100 ∘, 60 ∘, 36 ∘, 156 ∘

36 ∘, 60 ∘, 108 ∘, 156 ∘

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

120 ^∘, 120 ^∘

200 ^∘, 50 ^∘

150 ^∘, 150 ^∘

135 ^∘, 135 ^∘

84 ^∘, 90 ^∘, 90 ^∘

90 ^∘, 90 ^∘, 84 ^∘

84 ^∘, 84 ^∘, 84 ^∘

90 ^∘, 84 ^∘, 90 ^∘

70 ^∘, 70 ^∘, 100 ^∘, 100 ^∘

60 ^∘, 80 ^∘, 100 ^∘, 90 ^∘

60 ^∘, 120 ^∘, 80 ^∘, 140 ^∘

60 ^∘, 80 ^∘, 80 ^∘, 140 ^∘

40 ^∘, 50 ^∘, 80 ^∘, 150 ^∘

36 ^∘, 60 ^∘, 108 ^∘, 154 ^∘

100 ^∘, 60 ^∘, 36 ^∘, 156 ^∘

36 ^∘, 60 ^∘, 108 ^∘, 156 ^∘