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 equal angles.

Front

If a point is equidistant from two figures, what can be said about its distance to each figure?

Back

The point is the same distance from both figures.

Front

What is the relationship between the perpendicular bisector of a segment and the segment's endpoints?

Back

Any point on the perpendicular bisector is equidistant from the segment's endpoints.

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 the measure of angles formed by two intersecting lines?

Back

The angles are vertical angles and are congruent.

Front

What is the significance of the point where the angle bisector intersects the opposite side of a triangle?

Back

It is called the incenter, and it is equidistant from all sides of the triangle.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of their measures is 90 degrees.

Front

What is the definition of congruent figures?

Back

Figures that have the same shape and size.

Front

How can you determine if two triangles are congruent?

Back

By using criteria such as SSS, SAS, ASA, AAS, or HL.