Question

Construct following quadrilaterals

(i) Quadrilateral $LIFT$
$LI=4cm$
$IF=3cm$
$TL=2.5cm$
$LF=4.5cm$
$IT=4cm$

(ii) Quadrilateral $GOLD$
$OL=7.5cm$
$GL=6cm$
$GD=6cm$
$LD=5cm$
$OD=10cm$

(iii) Rhombus $BEND$
$BN=5.6cm$
$DE=6.5cm$

Answer 1

(i)

Steps of constructions:

1. Draw $LI$ of length $4cm$.

2. Cut an arc of $2.5cm$ from L and $4cm$ from $I$. Their point of intersection is $T$.

3. Cut an arc of $4.5cm$ from $L$ and $3cm$ from $I$. Their point of intersection is $F$.

4. Join all the points.

$LIFT$ is the required quadrilateral.

(ii)

Steps of constructions:

1. Draw OL of length $7.5cm$.

2. Cut an arc of $10cm$.

from $O$ and $5cm$ from $L$. Their point of intersection is $D$.

3. Cut an arc of $7.5cm$ from $L$ and $6cm$ from $D$. Their point of intersection is $G$.

4. Join all the points.

$GOLD$ is the required quadrilateral.

iii)

Steps of constructions:

1. Draw $DE$ of length $6.5cm$.

2. Draw a perpendicular bisector of $DE$. The point of intersection is $O$.

3. Cut an arc of $2.8cm$ from $O$ on the perpendicular bisector both above and below $DE$. The points of intersection are $B$ and $N$.

4. Join all the points.

$BEND$ is the required rhombus.