Question

The figure shows a construction made using technology.

Does the construction demonstrate how to bisect an angle correctly using technology? Explain why or why not by describing how it was constructed.

Answer 1

Yes, the construction shows how to bisect an angle correctly

How to bisect an angle

In the diagram angle A is bisected by line AE

The bisection is achieved by placing the compass at point D and marking an arc (or drawing circle)

Using point E as center, we use same measure (as used earlier) to mark another arc (or circle)

The intersection of the two arcs (that is point G) is noted

Draw a line from A to cross point G.

Then angle A is bisected to have angle CAG equal to angle BAG