Angle & Perpendicular Bisectors

Front

What is an angle?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

What is a perpendicular bisector?

Back

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

Front

How do you find the measure of an angle when given two angles that are complementary?

Back

The sum of two complementary angles is 90 degrees. If one angle is known, subtract it from 90 to find the other.

Front

What is the relationship between angles formed by intersecting lines?

Back

When two lines intersect, they form vertical angles that are equal and adjacent angles that are supplementary (sum to 180 degrees).

Front

If two angles are supplementary, what is their sum?

Back

The sum of two supplementary angles is 180 degrees.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if they intersect to form a right angle (90 degrees).

Front

What is the formula for finding the length of a segment given its endpoints?

Back

The length of a segment with endpoints (x1, y1) and (x2, y2) is given by the formula: √((x2 - x1)² + (y2 - y1)²).

Front

If a point lies on the perpendicular bisector of a segment, what can be said about its distance to the endpoints of the segment?

Back

The point is equidistant from the endpoints of the segment.

Front

What is the measure of a right angle?

Back

A right angle measures 90 degrees.

Front

How do you find the measure of an angle when given the measures of its adjacent angles?

Back

If two angles are adjacent and form a straight line, their measures add up to 180 degrees. Subtract the measure of one angle from 180 to find the other.