EASY
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It is possible to construct a quadrilateral with one side and three angles.

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Important Questions on Construction of Quadrilateral

MEDIUM
Construct a cyclic quadrilateral ABCD in which AB=6 cm, AC=7 cm, BC=6 cm and AD=4.2 cm.
MEDIUM
Draw a rectangle of length 4 cm, breadth 3 cm and draw a square of the same Area.
EASY
Draw a rectangle of 4 centimetres and breadth 3 centimetres. Draw a square having the same area of the rectangle.
HARD
Using a ruler and a compass only construct a semi-circle with diameter BC=7 cm. Locate a point A on the circumference of the semi-circle such that A is equidistant from B and C. Complete the cyclic quadrilateral ABCD, such that D is equidistant from AB and BC. Measure ADC and write it down.
MEDIUM

Construct a quadrilateral PQRS in which PQ=4.2 cm, PQR=60°, QPS=120°, QR=5 cm and PS=6 cm.

HARD

Construct a quadrilateral ABCD in which AB=2.9 cm, BD=3.2 cm, CD=2.7 cm, DA=3.4 cm and A=70°.

HARD

Construct the quadrilateral LIFT, where LI=4 cmIF=3 cmTL=2.5 cmLF=4.5 cmIT=4 cm.

MEDIUM
Construct a quadrilateral ABCD in which BC=7.5cm, AC=AD=6cm, CD=5cm and BD=10cm.
MEDIUM
Construct a quadrilateral ABCD in which BC=4cm, CA=5.6cm, AD=4.5cm, CD=5cm and BD=6.5cm
HARD
Construct a trapezium ABCD in which AB=6 cm, BC=4 cm, CD=3.2 cm, B=75° and DCAB.
HARD

Construct a quadrilateral ABCD in which AB=BD=3.5 cm, AD=CD=5.2 cm and ABC=120°.

HARD

Construct a quadrilateral ABCD in which AB=4.2 cm, BC=6 cm, CD=5.2 cm, DA=5cm and AC=8 cm.

HARD

Construct a quadrilateral ABCD in which AB=3.6 cm, BC=3.3 cm, AD=2.7 cm, diagonal AC=4.6 cm and diagonal BD=4 cm.

MEDIUM
Construct a quadrilateral ABCD in which AB=3.8 cm, BC=3.0 cm, AD=2.3 cm, AC=4.5 cm and BD=3.8 cm.
HARD

Draw a trapezium ABCD in which ABCD, AB=7 cm, BC=5 cm, AD=6.5 cm and B=60°.

MEDIUM
Construct a quadrilateral ABCD given AD=3.5cm, BC=2.5cm, CD=4.1cm, AC=7.3cm and BD=3.2cm.
HARD

Construct a quadrilateral ABCD in which AB=3.5 cm, BC=3.58 cm, CD=DA=4.5 cm and BD=5.6 cm.

HARD

Construct a quadrilateral PQRS in which QR=7.5 cm, PR=PS=6 cm, RS=5 cm, QS=10 cm. Measure the fourth side.

HARD

Construct a square, each of whose sides measure 6.4 cm.