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?

Back

34°

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

If the measure of angle DBC is 14°, what is the measure of angle DBA?

Back

28°

Front

Solve for x: 2x + 1 = 7.

Back

x = 3

Front

What is the relationship between an angle and its bisector?

Back

The angle bisector creates two angles that are equal in measure.

Front

If angle A measures 50°, what is the measure of each angle formed by the angle bisector?

Back

25° each.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by the angle bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Front

If angle ABC is bisected, and angle ABD = 2x and angle CBD = x, what is the value of x?

Back

x = 17°.

Front

What is the measure of angle ABD if angle ABC measures 80°?

Back

40°.