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 ABC measures 34°, what is the measure of angle CBD if it is an angle bisector?

Back

Angle CBD also measures 34°.

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 DBC measures 14°, what is the measure of angle DBA if DBC is half of DBA?

Back

Angle DBA measures 28°.

Front

If angle ABD is 74°, what is the measure of angle CBD if CBD is half of ABD?

Back

Angle CBD measures 37°.

Front

What is the formula to find the measure of an angle when given its bisector?

Back

If angle A is bisected, then each of the resulting angles is A/2.

Front

How do you find the measure of an angle when given the measures of its bisected angles?

Back

Add the measures of the two bisected angles together.

Front

What is the measure of angle ABD if x = 3 in the equation x = 3?

Back

Angle ABD measures 27°.

Front

If angle ABC measures 34°, what can be inferred about angle CBD if it is an angle bisector?

Back

Angle CBD also measures 34°.

Front

What is the significance of angle bisectors in triangle geometry?

Back

Angle bisectors help in finding the incenter of a triangle, which is the center of the inscribed circle.