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

Back

90 degrees.

Front

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

Back

180 degrees.

Front

What does the SAS postulate state?

Back

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

Front

What does the SSS postulate state?

Back

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

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

How do you find the measure of an angle if you know its bisector?

Back

The measure of the angle is twice the measure of either of the two congruent angles created by the bisector.

Front

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

Back

The angles formed are right angles (90 degrees).

Front

If AB is a perpendicular bisector of segment CD, what can be said about points C and D?

Back

Points C and D are equidistant from point A.