Angle Bisectors #1

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

If angle ABD is bisected, what is the relationship between angle ABD and angle ABC?

Back

Angle ABC is equal to the sum of angle ABD and angle CBD, where angle CBD is also equal to angle ABD when ABD is bisected.

Tags

CCSS.HSG.CO.C.9

Front

What is the measure of angle CBD if angle ABD measures 74°?

Back

37° (since angle CBD = angle ABD / 2).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

34° (since angle CBD = angle ABC).

Front

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

Back

You can use the property that the angle bisector divides the angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

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

Back

If angle ABD is bisected, then angle ABD = 2 * angle CBD.

Tags

CCSS.HSG.CO.C.9

Front

If x = 3, what is the measure of angle ABD if it is bisected?

Back

27° (since angle ABD = 9 * x).

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The angles formed by the angle bisector are equal to each other.

Tags

CCSS.HSG.CO.C.9

Front

If angle ABD measures 74°, what is the measure of angle ABC?

Back

148° (since angle ABC = 2 * angle ABD).

Front

What is the measure of angle CBD if angle ABC measures 34°?

Back

34° (since angle CBD = angle ABC).

Tags

CCSS.7.G.B.5