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Standard VIII

Mathematics

Construction of Trapeziums

To construct ...

Question

To construct a trapezium ABCD with $A B ∥ C D,$ AB = 8 cm, BC = 5 cm, AD = 6 cm and $∠ A B C = 60^{\circ},$ we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle $∠ A B X = 60^{\circ}$ at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.

Draw CY parallel to AB.

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With B as centre, draw an arc of radius 6 cm cutting BX.

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Draw a line segment AY parallel to BC.

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With A as centre, draw an arc of radius 6 cm cutting BX.

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Solution

The correct option is A Draw CY parallel to AB.
To construct a trapezium ABCD with $A B ∥ C D,$ AB = 8 cm, BC = 5 cm, AD = 6 cm and $∠ A B C = 60^{\circ},$ we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle $∠ A B X = 60^{\circ}$ at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.
4) Draw CY parallel to AB.
5) With A as centre, draw an arc of radius 6 cm cutting AY at D.
6) Join AD. ABCD is the required trapezium.

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Similar questions

Q. To construct a trapezium ABCD with

A B ∥ C D,

AB = 8 cm, BC = 5 cm, AD = 6 cm and

∠ A B C = 60^{\circ},

we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle

∠ A B X = 60^{\circ}

at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.

Q. To construct a trapezium ABCD with

A B ∥ C D,

AB = 8 cm, BC = 5 cm, AD = 6 cm and

∠ A B C = 60^{\circ},

we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle

∠ A B X = 60^{\circ}

at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.

Q. To construct a trapezium ABCD with

A B ∥ C D,

AB = 6.5 cm, BC = 6.2 cm,

∠ A B C = 80^{\circ}

and

∠ D A B = 105^{\circ},

we follow the following steps:
1) Draw the line segment AB = 6.5 cm.
2) Construct the angle

∠ A B X = 80^{\circ}

at B.
3) With B as centre, draw an arc of radius 6.2 cm cutting BX at C.
4) Draw CD parallel to AB.
The next step involved in the construction is __.

Q. To construct a trapezium ABCD with

A B ∥ C D,

AB = 6.5 cm, BC = 6.2 cm,

∠ A B C = 80^{\circ}

and

∠ D A B = 105^{\circ},

we follow the following steps:
1) Draw the line segment AB = 6.5 cm.
2) Construct the angle

∠ A B X = 80^{\circ}

at B.
3) With B as centre, draw an arc of radius 6.2 cm cutting BX at C.
4) Draw CD parallel to AB.
The next step involved in the construction is __.

Q. Construct a quadrilateral

A B C D

in which

A B = 3.6 cm, ∠ A B C = 80^{\circ}, B C = 4 cm, ∠ B A D = 120^{\circ}

, and

A D = 5 cm

.
Steps of construction are:
(i) Make

∠ B A Y = 120^{\circ}

(ii) Join

C D

(iii) With

B

as centre and radius equal to

4 cm

, draw an arc, cutting

B X

C

.
(iv) Draw

A B = 3.6 cm

(v) With

A

as centre and

5 cm

as radius, draw an arc, cutting

A Y

D

.
(vi) Make

∠ A B X = 80^{\circ}

Choose the correct order of steps of construction.

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To construct a trapezium ABCD with AB∥CD, AB = 8 cm, BC = 5 cm, AD = 6 cm and ∠ABC=60∘, we follow the following steps: 1) Draw the line segment AB = 8 cm. 2) Construct the angle ∠ABX=60∘ at B. 3) With B as centre, draw an arc of radius 5 cm cutting BX at C. The next step is ___.