Question

In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector? Use complete sentences for full credit.

Answer 1

1. The angles so formed by the bisection will be equal to one another (45 degrees each)
2.The angles formed are complement to each other.
3. The angles are adjacent.
4. the vertex of both the angles is same.

Answer 2

ANGLE BISECTOR AND ITS PROPERTIES
An angle bisector is a line segment that comes from the opposite line segment or the angle and falls on the angle dividing it into two equal parts irrespective of the angle on which it falls.

Some of the properties of an angle bisector are:

• The angles so formed by the bisection will be equal. It can be said that the bisector divides the parent angle into two equal parts. For Example, If the measure of the parent angle is 100 degrees then the bisector shall divide it into two equal parts of 50 degrees each.
• The angles are adjacent. It means that the angles that are formed will be situated adjacent to each other and will both have a common arm.
• The vertex of both angles is the same. Since, one of the arms will be common in both the bisected angles, Therefore, the vertex will also be the same for both.

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