Advertisements
Advertisements
Question
Construct the following quadrilateral of given measures.
Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.
Solution
Steps of Construction:
Step 1: Draw DE = 4.5 cm.
Step 2: With D as centre and radius 7.2 cm, draw an arc.
Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.
Step 4: Join EF.
Step 5: With D as centre and radius 5.5 cm, draw an arc.
Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.
Step 7: Join DG and GF.
Here, DEFG is the required quadrilateral.
RELATED QUESTIONS
Construct the following quadrilateral of given measures.
In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90°.
Construct the following quadrilateral of given measures.
In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70°, m∠B = 50°, m∠C = 140°.
Construct the following quadrilateral of given measures.
Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
Construct a quadrilateral ABCD, when:
AB = 3.2 cm, BC = 5.2 cm, CD = 6.2 cm, DA = 4.2 cm and BD = 5.2 cm.
Construct a quadrilateral ABCD, when:
∠ A = 90o, AB = 4.6 cm, BD = 6.4 cm, AC = 6.0 cm and CD = 4.2 cm.
Construct a quadrilateral ABCD, when:
BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.
Construct a quadrilateral ABCD, when:
AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45°.
Construct a quadrilateral ABCD, when:
AB = 6.3 cm, BC = CD = 4.2 cm and ∠ABC = ∠BCD = 90°.
Construct a quadrilateral ABCD; if:
AB = 4.3 cm, BC = 5.4, CD = 5 cm, DA = 4.8 cm and angle ABC = 75°.
Construct a quadrilateral ABCD; if:
AB = 6 cm, CD = 4.5 cm, BC = AD = 5 cm and ∠BCD = 60°.