Perpendicular and Angle Bisectors

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

What is the purpose of constructing a perpendicular bisector?

Back

The purpose of constructing a perpendicular bisector is to find the midpoint of a segment and create a line that is perpendicular to that segment.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

How do you prove triangles are congruent using ASA?

Back

To prove triangles are congruent using ASA, you need to show that two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Front

What is the relationship between the sides of congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

What is 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

What is the difference between an altitude and a perpendicular bisector?

Back

An altitude is a segment from a vertex perpendicular to the opposite side, while a perpendicular bisector is a line that divides a segment into two equal parts at a right angle.

Front

Why is it important to make arcs with the same radius when constructing a perpendicular bisector?

Back

Making arcs with the same radius ensures that the arcs are equidistant from the endpoints, which is essential for finding the midpoint.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the significance of the statement AB≅XY in triangle congruence?

Back

The statement AB≅XY indicates that side AB of triangle ABC is equal in length to side XY of triangle XYZ, which is part of proving the triangles are congruent.