- - - - - - - - - - - - - - - - - - - - Practical Geometry - - - - - - - - - - - - - - - - - - - -
- Construct ΔLMN, right-angled at M, given that LN = 5 cm and MN = 3 cm.
- Construct a triangle ABC, given that AB = 5 cm, BC = 6 cm and AC = 7 cm.
- Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.
- Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.
- Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠<EDF = 90°.
- Construct ΔPQR if PQ = 5 cm, m∠<PQR = 105° and m∠<QRP = 40°.
- Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
- Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.
- Construct ΔABC, given m∠ <A = 60°, m∠<B = 30° and AB = 5.8 cm.
- Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.
- Construct an equilateral triangle of side 5.5 cm.
- Construct the right angled ΔPQR, where m<∠Q = 90°, QR = 8cm and PR = 10 cm.
- Construct a triangle PQR, given that PQ = 3 cm, QR = 5.5 cm and ∠PQR = 60°.
- Construct an isosceles right-angled triangle ABC, where m∠<ACB = 90° and AC = 6 cm.
- Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?.
- Examine whether you can construct ΔDEF such that EF = 7.2 cm, m∠<E = 110° and M<∠F = 80°. Justify your answer.
- Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangles this?
- Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m ∠C = 60°.
- Construct ΔXYZ if it is given that XY = 6 cm,m∠ZXY = 30° and m∠XYZ = 100°.
- Construct an isosceles triangle in which the length of each of its equal sides is 6.5 cm and the angle between them is 110°.
