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 equal 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 is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

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

Back

Subtract the measure of the complementary angle from 90 degrees.

Front

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

Back

Subtract the measure of the supplementary angle from 180 degrees.

Front

What is the formula for finding the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If angle ABD measures 74 degrees, what is the measure of angle CBD if they are vertical angles?

Back

Angle CBD also measures 74 degrees.

Front

What is the definition of altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.