Angle and Perpendicular Bisectors

Front

What is the definition of an angle bisector?

Back

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

Front

How do you find the measure of an angle when given an expression in terms of x?

Back

To find the measure of an angle given an expression in terms of x, set the expression equal to the known angle measure and solve for x.

Front

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

Back

The angles formed by a perpendicular bisector and the segments it bisects are congruent.

Front

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

Back

The sum of the measures of two complementary angles is 90 degrees.

Front

What is the formula for finding the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you determine if two angles are vertical angles?

Back

Two angles are vertical angles if they are opposite each other when two lines intersect.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The angles formed by two intersecting lines are called vertical angles, and they are congruent.

Front

How can you use algebra to solve for x in angle relationships?

Back

You can set up equations based on the relationships between angles (such as complementary, supplementary, or vertical angles) and solve for x.

Front

What is the measure of a right angle?

Back

The measure of a right angle is 90 degrees.