Question

Construct the quadrilaterals with the given measurement and write step of construction.
i) Quadrilateral ABCD with AB = 5.5 cm , BC=3.5 cm , CD = 4 cm , AD = 5 cm and $\angle A={45}^{\circ }$

Answer 1

Construction: Quadrilateral ABCD with

a) AB=5.5CM

B) BC=3.5 CM

C) CD= 4 CM

D) AD =5 CM

E) $\angle A={45}^0$

SINCE $\angle A={45}^0$ IS GIVEN, WE FIRST CONSTRUCT THE TRIANGLE

$\Delta BAD$ USING AB AND AD LENGTHS.

1) CONSTRUCT AB = 5.5 CM

2) CONSTRUCT $\angle A={45}^0$

3) MARK D SUCH THAT AD = 5 CM AND JOIN BD (OPITONAL)

THEREFORE, TAKE LENGTHS OF CD AND BC CONSTRUCTING AREA IN ORDER TO GET THE POINT C.

4) MARK AREA CD AND BC THAT INTERSECT AT C.

5) JOIN THE INTERSECTION POINT WITH B AND D.

THE RESULT IS REQUIRED QUADRILATERAL.