Which properties are true for all angle bisectors? Choose all that apply.(2 points) Responses 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 Form a 90 degree angle Form a 90 degree angle Cut a segment into two equal segments Cut a segment into two equal segments Splits an angle into two congruent angles

Answer 1

The properties that are true for all angle bisectors are:

1. Cut an angle into two angles, each with half the measure of the original angle - This is true because an angle bisector divides an angle into two equal parts.

2. Splits an angle into two congruent angles - This is also true, as the definition of an angle bisector is that it creates two angles that are congruent (i.e., they have the same measure).

The following options are not true for all angle bisectors:

• Form a 90 degree angle - Angle bisectors do not necessarily form a 90-degree angle; they simply split the original angle into two equal parts, which can be of various measures.

• Cut a segment into two equal segments - This is not true for angle bisectors, as they do not necessarily divide line segments into equal lengths.

Therefore, the correct responses are:

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