5.1 Perpendicular and Angle Bisectors

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

What is the Perpendicular Bisector Theorem?

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What is a perpendicular bisector?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which can be proven using criteria like SSS, SAS, or ASA.

Front

What is the SAS Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the ASA Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

If YW is the perpendicular bisector of XZ, what can be said about segments XY and YZ?

Back

XY is equal to YZ because YW is the perpendicular bisector.

Front

What is the relationship between the angles formed by a perpendicular bisector and the segments it bisects?

Back

The angles formed are right angles (90 degrees) to the segments being bisected.

Front

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

Back