Question

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

Answer 1

The correct option is A Draw CY parallel to AB.

To construct a trapezium ABCD with $AB\parallel CD,$ AB = 8 cm, BC = 5 cm, AD = 6 cm and $\angle ABC={60}^{\circ },$ we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle $\angle ABX={60}^{\circ }$ 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.