Perpendicular and Angle Bisectors

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 length of a segment given its endpoints?

Back

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

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the relationship between perpendicular lines?

Back

Perpendicular lines intersect at a right angle (90 degrees).

Front

How do you calculate the measure of an angle formed by two intersecting lines?

Back

Use the properties of vertical angles or the sum of angles in a triangle.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint of a segment is the point that divides the segment into two equal lengths.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula for finding the angle bisector of an angle?

Back

The angle bisector divides the angle into two equal parts, and can be found using the angle bisector theorem.

Front

What is the angle bisector theorem?

Back

The angle bisector theorem states that the ratio of the lengths of the two segments created by the bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Front

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

Back

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