Advertisements
Advertisements
Question
Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
Advertisements
Solution
Steps of construction:
Step I: Draw AB = 3 cm .
Step II: Construct ∠ ABC = 120° .
Step III : With B as the centre and radius 3 cm, cut off BC = 3 cm .
Step IV: With C as the centre and radius 5 cm, draw an arc .
Step V : With A as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D .
Step VI: Join AD and CD to obtained the required quadrilateral .

RELATED QUESTIONS
Construct the following quadrilaterals.
Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°
Construct the following quadrilaterals.
Rectangle OKAY
OK = 7 cm
KA = 5 cm
Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4 cm, CD = 4.5 cm, AD = 5 cm and ∠B= 80°.
Construct a quadrilateral ABCD in which AB = 7.7 cm, BC = 6.8 cm, CD = 5.1 cm, AD = 3.6 cm and ∠C = 120°.
Construct a quadrilateral ABCD in which AB = 2.8 cm, BC = 3.1 cm, CD = 2.6 cm, and DA = 3.3 cm and ∠A = 60°.
Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°
To construct a unique parallelogram, the minimum number of measurements required is ______.
______ measurements can determine a quadrilateral uniquely.
