Question

DEFG is a quadrilateral with DE = 4.5 cm, EF = 6.5 cm, $\angle$D = 65°, $\angle$E = 100° and $\angle$F = 60°.
Arrange the steps of construction in the correct order.

(a) With E as centre and radius 6.5 cm, draw an arc. Mark the point to be F.

(b) Quadrilateral DEFG is constructed.

(c) Make ∠D = 65° and $\angle$E = 100° and extend the lines.

(d) Draw DE = 4.5 cm.

(e) Make $\angle$ F = 60° and extend the line. Mark the intersecting point of the lines to be G.

• A. d, c, a, e, b
• B. c, a, d, b, e
• C. d, a, b, e, c
• D. c, a, b, e, d

Answer 1

The correct option is A d, c, a, e, b

Step 1: Draw DE = 4.5 cm.

Step 2: Make ∠D = 65° and $\angle$E = 100° and extend the lines.

Step 3: With E as centre and radius 6.5 cm, draw an arc. Mark the point to be F.

Step 4: Make $\angle$ F = 60° and extend the line. Mark the intersecting point of the lines to be G.

Step 5: Quadrilateral DEFG is constructed.

After construction, the quadrilateral will be as follows: