Question

Construct the following quadrilaterals.

(i) Quadrilateral $ABCD$

$AB=4.5cm$

$BC=5.5cm$

$CD=4cm$

$AD=6cm$

$AC=7cm$

(ii) Quadrilateral $JUMP$
$JU=3.5cm$
$UM=4cm$
$MP=5cm$
$PJ=4.5cm$
$PU=6.5cm$

(iii) Parallelogram $MORE$
$OR=6cm$
$RE=4.5cm$
$EO=7.5cm$

(iv) Rhombus $BEST$
$BE=4.5cm$
$ET=6cm$

Answer 1

1)

Steps of construction:

1. Draw $AD$ of length $6cm$.

2. Cut an arc of $7cm$ from $A$ and $4cm$ from $D$. Their point of intersection is $C$.

3. Cut an arc of $4,5cm$ from $A$ and $5.5cm$ from $C$. Their point of intersection is $B$.

4. Join all the points.

$ABCD$ is the required quadrilateral.

2)

Steps of construction:

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

2. Cut an arc of $6.5cm$ from $U$ and $5cm$ from $M$. Their point of intersection is $P$.

3. Cut an arc of $3.5cm$ from $U$ and $4.5cm$ from $P$. Their point of intersection is $J$.

4. Join all the points.

$JUMP$ is the required quadrilateral.

3)

Steps of construction:

1. Draw $OR$ of length $6cm$.

2. Cut an arc of $7.5cm$ from $O$ and $4.5cm$ from $R$. Their point of intersection is $E$.

3. Cut an arc of $4.5cm$ from $O$ and $6cm$ from $E$. Their point of intersection is $M$.

4. Join all the points.

$MORE$ is the required parallelogram.

4)

Steps of construction:

1. Draw $ET$ of length $6cm$.

2. Draw its perpendicular bisector.

[Draw the arcs with radius is more than $6cm$ at the centers $E,T$ respectively above the line segment $ET$. which are intersects at a point . Similarly, draw the arcs with radius is more than $6cm$ at the centers $E,T$ respectively below the line segment $ET$. which are intersects at a another point point . Join these two points of intersections of the arcs.

Hence, the perpendicular bisector of $ET$ formed.

3. Cut an arc of $4.5cm$ from $E$ on the perpendicular bisector both above and below $ET$, the point of intersections are $B$ and $S$.

4. Join all the points.

$BEST$ is the required rhombus.