GEOMETRICAL CONSTRUCTIONS

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

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

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

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