Question

16. Construct a quadrilateral ABCD in which AB=6cm, <ABC=80°, BC=5cm, <BAD=120
& AD=5.5cm.​

Answer 1

$\Large {\underline { \sf{Explication \: of \: Steps :}}}$

$\underline{\small \sf {\maltese \; \; \; Steps \: of \: construction : \; \; \; }}$

• Draw AB = 6 cm.

• Make ∠ABX = 80°.

• With B as centre and radius equal to 5 cm, draw an arc, cutting BX at C.

• Make ∠BAY = 120°.

• With A as centre and radius equal to 5.5 cm, draw an arc, cutting AY at D.

• Now, join CD.

Hence, we constructed the required quadrilateral !

_______________________________

$\Large {\underline { \sf {A \: Little \: Further !}}}$

About Quadrilaterals :

• A quadrilateral is a shape having 4 sides, 4 vertices, 4 angles.

• Sum of all the angles of a quadrilateral is 360°.

• If the sides of a quadrilateral are produced in an order, the sum of the four exterior angles so formed us 360°.

• Some examples of quadrilaterals are :

1. Parallelogram
2. Square
3. Rhombus
4. Rectangle