5.1 Angle/Perpendicular 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

What does a perpendicular bisector do?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle (90 degrees).

Front

What is the relationship between an angle bisector and the angles it creates?

Back

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

Front

If a line bisects an angle of 60 degrees, what is the measure of each angle?

Back

Each angle measures 30 degrees.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

How do you find the length of a segment using the perpendicular bisector?

Back

The perpendicular bisector can be used to find the midpoint of a segment, which helps in determining the length of the segment.

Front

What is the significance of the point where the angle bisectors of a triangle intersect?

Back

The point where the angle bisectors intersect is called the incenter, which is the center of the circle inscribed in the triangle.

Front

What is the significance of the point where the perpendicular bisectors of a triangle intersect?

Back

The point where the perpendicular bisectors intersect is called the circumcenter, which is the center of the circle circumscribed around the triangle.

Front

If line segment AB is bisected at point C, what can be said about AC and CB?

Back

AC is equal to CB.

Front

What is the formula for finding the length of a segment given its endpoints?

Back

The length of a segment with endpoints (x1, y1) and (x2, y2) is given by the formula: √((x2 - x1)² + (y2 - y1)²).