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

What is an angle bisector?

Back

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

Front

How do you find the length of a segment using the Pythagorean theorem?

Back

To find the length of a segment, use the formula a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

What is the relationship between perpendicular lines?

Back

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

Front

What is the significance of the angle bisector theorem?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What is the formula for finding the distance between two points in a coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.