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

Back

34°

Front

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

Back

The angles formed by an angle bisector are equal.

Tags

CCSS.HSG.CO.C.9

Front

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

Back

37°

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

Back

Measure of angle = 2 * measure of angle bisector.

Tags

CCSS.HSG.CO.C.9

Front

If angle ABC is bisected and measures 68°, what are the measures of angles ABD and CBD?

Back

Both angles ABD and CBD measure 34°.

Tags

CCSS.HSG.CO.C.9

Front

What is the measure of angle ABD if x = 3 and the angle is expressed as 9x?

Back

Angle ABD = 27°.

Tags

CCSS.4.MD.C.7

Front

If angle ABC measures 90°, what is the measure of angle CBD when it is bisected?

Back

45°.

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.

Tags

CCSS.HSG.C.A.3