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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

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Solution

1)


Steps of construction:

1. Draw AD of length 6 cm.
2. Cut an arc of 7 cm from A and 4 cm from D. Their point of intersection is C.
3. Cut an arc of 4,5 cm from A and 5.5 cm 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 4 cm.
2. Cut an arc of 6.5 cm from U and 5 cm from M. Their point of intersection is P.
3. Cut an arc of 3.5 cm from U and 4.5 cm 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 6 cm.
2. Cut an arc of 7.5 cm from O and 4.5 cm from R. Their point of intersection is E.
3. Cut an arc of 4.5 cm from O and 6 cm 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 6 cm.
2. Draw its perpendicular bisector.

[Draw the arcs with radius is more than 6 cm 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 6 cm 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 4.5 cm 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.

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