Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is the point of concurrency for the perpendicular bisectors of a triangle called?

Back

Circumcenter.

Front

What is the point of concurrency for the angle bisectors of a triangle called?

Back

Incenter.

Front

How do you find the measure of an angle formed by two angle bisectors?

Back

Add the measures of the two angles and divide by 2.

Front

If HK and JK are angle bisectors, what can be said about angles HJK and KJG?

Back

They are equal.

Front

What is the relationship between the circumcenter and the vertices of a triangle?

Back

The circumcenter is equidistant from all three vertices.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides.

Front

If the measure of angle KJG is 49º, what is the measure of angle HJK?

Back

49º (since HK is an angle bisector).

Front

What is the formula to find the distance from a point to a line?

Back

Distance = |Ax + By + C| / √(A² + B²), where Ax + By + C = 0 is the line equation.