1. GEOMETRICAL CONSTRUCTIONS

2. 1 Construct triangle ABC in which AB = 10 cm, AC = 12 cm and BC = 9 cm.
Draw AB =10 cm
With your compass point on A,
draw an arc radius 12 cm.
With your compass point on B, draw an arc radius 9 cm.
12 cm
9 cm
Label the point of intersection of the two arcs as C.
Draw the lines AC and BC. A B
10 cm

3. 2 Construct an angle of 600 at A.
With your compass point on A,
draw an arc to cut the line AB at X. Y
With your compass point on X, draw an arc with the same radius to intersect the first arc at Y.
Draw the line AY.
Angle BAY = 60o.
60o A X B

4. 3 Construct the bisector of angle ABC.
With your compass point on B, draw an arc to intersect the lines at P and Q. C
With the same radius, draw arcs from P and Q to intersect each other at R. Q R
Draw the line BR.
Angle ABR = Angle CBR. B P A

5. 4 Construct the perpendicular bisector of the line AB.
With your compass point on A, draw an arc. P
Using the same radius and your compass point on B, draw an arc to intersect the first arc at P and Q. B
Draw the line PQ.
PQ is the perpendicular bisector of AB. A Q