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

Define angle bisector.

Back

A ray that divides an angle into two equal angles.

Front

What is the relationship between perpendicular lines?

Back

They intersect at a right angle (90 degrees).

Front

State 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 does the Angle Bisector Theorem state?

Back

An angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

Front

How do you prove triangles are congruent using SAS?

Back

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

Front

What is the difference between SSS and SAS congruence postulates?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

What is the significance of congruence statements?

Back

They indicate that two geometric figures are identical in shape and size.

Front

How can you find the length of a segment using the properties of angle bisectors?

Back

Use the Angle Bisector Theorem to set up a proportion based on the segments created by the bisector.

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.