Question

Draw seg AB = 6.8 cm. Draw a circle with diameter AB. Draw point C on the circle apart from A and B. Draw line AC and line CB. Write the measure of angle ACB

Answer 1

Analysis:

seg AB is the diameter of the circle and the midpoint of seg AB is the centre of the circle. So we draw a perpendicular bisector of seg AB in order to find the centre of the circle.

Step of Construction:

1. Draw seg AB of length 6.8 cm
2. Draw perpendicular bisector of AB. It intersects AB in point O.
3. With O as centre and radius equal to AO, draw a circle.
4. Take any point C on the circle and draw seg AC and seg CB.
5. Find m∠ACB.
   Measures of ∠ACB = 90°