Angle & Perpendicular Bisectors

Front

What is the definition of 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 segment into two equal parts at a 90-degree angle.

Front

How do you find the measure of an angle when given the measures of other angles in a triangle?

Back

Use the fact that the sum of the angles in a triangle is 180 degrees.

Front

What is the relationship between angles formed by intersecting lines?

Back

Vertical angles are equal, and adjacent angles are supplementary (sum to 180 degrees).

Front

How do you solve for x in an equation involving angles?

Back

Isolate x by using algebraic methods, often involving the properties of angles.

Front

What is the formula for the sum of interior angles in a polygon?

Back

The sum of the interior angles of a polygon with n sides is (n-2) * 180 degrees.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

How do you find the length of a segment when given the coordinates of its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the midpoint in a segment?

Back

The midpoint divides the segment into two equal lengths.