Flashcard Perpendicular Bisectors 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 congruent angles.

Front

If point P is equidistant from points A and B, what can be said about point P?

Back

Point P lies on the perpendicular bisector of segment AB.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

How do you find the measure of a segment if you know the coordinates of its endpoints?

Back

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

Front

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

Back

The two angles formed are equal in measure.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect, and it is equidistant from the vertices of the triangle.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from the sides of the triangle.

Front

If a point is on the angle bisector of an angle, what can be said about its distances to the sides of the angle?

Back

The distances from the point to each side of the angle are equal.

Front

How do you determine if a point is equidistant from two figures?

Back

Check if the distances from the point to each figure are the same.