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

Define angle bisector.

Back

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

Front

What does it mean for a point to be equidistant from two figures?

Back

A point is equidistant from two figures if it is the same distance from both figures.

Front

How do you find the length of a segment using the distance formula?

Back

The distance formula is given by d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

What is the relationship between the angles formed by perpendicular lines?

Back

When two lines are perpendicular, they form four right angles (each measuring 90 degrees).

Front

How can you determine if two segments are congruent?

Back

Two segments are congruent if they have the same length.

Front

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

Back

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

Front

What is the measure of an angle if it is bisected and the resulting angles are 23 degrees each?

Back

The measure of the original angle is 46 degrees.

Front

How do you calculate the coordinates of the midpoint of a segment?

Back

The midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between the lengths of the segments created by a perpendicular bisector?

Back

The perpendicular bisector creates two segments that are equal in length.