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

Define angle bisector.

Back

A ray that divides an angle into two equal angles.

Front

What is the relationship between perpendicular bisectors and triangles?

Back

The perpendicular bisectors of a triangle intersect at a point called the circumcenter, which is equidistant from the vertices.

Front

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

Back

For a right triangle, the length of the hypotenuse can be found using the formula a² + b² = c², where c is the hypotenuse.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.

Front

Explain how to 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 (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the coordinates of the midpoint of a segment?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between angle bisectors and triangles?

Back

The angle bisectors of a triangle intersect at a point called the incenter, which is equidistant from the sides.

Front

What is the definition of a right angle?

Back

An angle that measures exactly 90 degrees.