Question

Which properties are true for all angle bisectors? Choose all that apply (2 points).(2 points)
Responses

Cuts a segment into three equal segments
Cuts a segment into three equal segments

Splits an angle into two congruent angles
Splits an angle into two congruent angles

Cut an angle into two angles, each with half the measure of the original angle
Cut an angle into two angles, each with half the measure of the original angle

Forms a 90 degree angle
Forms a 90 degree angle

Answer 1

The properties that are true for all angle bisectors are:

1. **Splits an angle into two congruent angles** - This is a fundamental property of angle bisectors. They divide the angle into two angles that have the same measure.

2. **Cut an angle into two angles, each with half the measure of the original angle** - This is essentially a restatement of the first property. Since the angle bisector divides the angle into two congruent angles, each of these angles measures half of the original angle.

The other options are not true for all angle bisectors:

- **Cuts a segment into three equal segments** - This statement is not true; angle bisectors do not necessarily divide segments into three equal parts.

- **Forms a 90 degree angle** - Angle bisectors do not necessarily form a 90-degree angle. They bisect an angle, which can have any measure.

So, the correct responses are:

- **Splits an angle into two congruent angles**
- **Cut an angle into two angles, each with half the measure of the original angle**