Question

ABCD ia quadrilateral, where AB = 7 cm, BC = 6 cm, AD = 8 cm, $\angle A$ = 60° and $\angle B$ = 90°. The following are the steps of construction.

$\to$Draw a line segment AB = 7 cm.
$\to$Make angles 60° and 90° at A and B respectively and extend the lines.
$\to$With A as the centre and radius 8 cm we construct an arc on the extended lines.
$\to$Mark the points C and D.
$\to$Join the points D and C to obtain the required quadrilateral ABCD.

Find the missing step.

• A. Construct 60° and 90° at the points A and B respectively.
• B. No steps are missed.
• C. With B as the centre and radius 6 cm we make an arc on the extended line.
• D. Quadrilateral ABCD is hence obtained.

Answer 1

The correct option is C With B as the centre and radius 6 cm we make an arc on the extended line.

Step 1: Draw a line segment AB = 7 cm.

Step 2: Make angles 60° and 90° at A and B respectively and extend the lines.

Step 3: With A as the centre and radius 8 cm we construct an arc on the extended lines.

Step 4: With B as the centre and radius 6 cm we make an arc on the extended line.

Step 5: Mark the points C and D.

Step 6: Join the points D and C to obtain the required quadrilateral ABCD.

After construction, we get the following quadrilateral.