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Question

# 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 ___.

A
Draw CY parallel to AB.
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B
Draw a line segment AY parallel to BC.
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C
With A as centre, draw an arc of radius 6 cm cutting BX.
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D
With B 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 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. 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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