Angle Bisectors

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

If angle ABD measures 74°, what is the measure of angle CBD when ABD is bisected?

Back

The measure of angle CBD is 37°.

Front

What is the relationship between angles formed by an angle bisector?

Back

The angles formed by an angle bisector are equal.

Front

If angle ABC measures 34°, what is the measure of angle CBD when ABC is bisected?

Back

The measure of angle CBD is 34°.

Front

How do you find the measure of an angle when given its bisector?

Back

To find the measure of an angle when given its bisector, divide the measure of the angle by 2.

Front

What is the measure of angle DBA if angle DBC is 14° and DBC is bisected?

Back

The measure of angle DBA is 28°.

Front

If m∠GHK = 80.5°, what is m∠KHJ when GHK is bisected?

Back

m∠KHJ = 80.5°.

Front

What is the formula to calculate the measure of an angle when its bisector is known?

Back

The formula is: Measure of angle = 2 * Measure of each formed angle.

Front

What is the significance of angle bisectors in geometry?

Back

Angle bisectors are significant as they help in constructing angles, solving problems related to triangles, and finding incenter of triangles.

Front

Can an angle bisector be used in triangle congruence?

Back

Yes, angle bisectors can be used in triangle congruence, particularly in the Angle-Angle-Angle (AAA) criterion.