Construction

Question 1

construct perpendicular bisector. construct line that point z lies in such that zx = zy

Answer 1

Question 2

construct angle bisector. construct line such that it is equivalent from the line AB and AC

Answer 2

Question 3

Given 2 lines that are tangent to a circle. To find the centre of the circle.
1. Draw angle bisector for the intersection of the 2 lines
2. Draw perpendicular line through the 2 points of tangent
3. Centre of circle = intersection of the 3 lines

AB and AC are tangents to the to the circle at point X and Y respectively. Find the centre of the circle

Answer 3

Question 4

Given a partly drawn circle. To complete the circle.

1. Take 2 points on given circle, draw perpendicular bisector through line segment
2. Take another 2 points on circle, draw perpendicular bisector through line segment
3. Centre of circle = intersection of the 2 bisectors

EXAMPLE
Diagram given is part of a circle.
Complete the drawing.

Answer 4

Question 5

3 properties of perpendicular bisector

Answer 5

Question 6

2 properties of angle bisectors

Answer 6