Advertisements
Advertisements
Question
Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 5 cm, ∠P = 50°, ∠Q = 110° and ∠R = 70°.
Solution
\[\text { Steps of construction: }\]
\[\text { Step I: Draw PQ = 4 cm }. \]
\[\text { Step II: Construct } \angle XPQ = 50^\circ \text { at P and } \angle PQY = 110^\circ \text { at Q }. \]
\[\text { Step III : With Q as the centre and radius 5 cm, cut off QR = 5 cm } . \]
\[\text { Step IV: At R, draw } \angle QRZ = 70^\circ \text { such that it meets PX at S } . \]
The quadrilateral so obtained is the required quadrilateral .
APPEARS IN
RELATED QUESTIONS
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, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.
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 = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.
Construct a quadrilateral PQRS, in which PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠Q = 75° and ∠R = 120°.
Construct a quadrilateral PQRS, in which ∠Q = 45°, ∠R = 90°, QR = 5 cm, PQ = 9 cm and Rs = 7 cm.
Construct a quadrilateral PQRS, where PQ = 3.5 cm, QR = 6.5 cm, ∠P = ∠R = 105° and ∠S = 75°.
Construct a quadrilateral ABCD, where ∠A = 65°, ∠B = 105°, ∠C = 75° BC = 5.7 cm and CD = 6.8 cm.
______ measurements can determine a quadrilateral uniquely.
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
