Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

What is the midpoint of a segment?

Back

The midpoint of a segment is the point that divides the segment into two equal lengths.

Front

How do you find the length of a segment given its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

If a point lies on the perpendicular bisector of a segment, what can be said about its distance to the endpoints of the segment?

Back

The point is equidistant from the endpoints of the segment.

Front

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

Back

The angles formed by an angle bisector are equal.

Front

How do you determine if a line is a perpendicular bisector of a segment?

Back

A line is a perpendicular bisector if it is perpendicular to the segment and passes through its midpoint.

Front

What is the significance of the perpendicular bisector in triangle construction?

Back

The perpendicular bisector of a side of a triangle helps in finding the circumcenter, which is the center of the circumcircle.

Front

What is the measure of an angle if it is bisected and the original angle is 80 degrees?

Back

Each of the two angles formed by the bisector measures 40 degrees.