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

Define angle bisector.

Back

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

Front

What is the relationship between perpendicular bisectors and triangles?

Back

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

Front

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

Back

Front

What is the measure of an angle if it is bisected?

Back

If an angle is bisected, each of the two resulting angles measures half of the original angle.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of two complementary angles is 90 degrees.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of two supplementary angles is 180 degrees.

Front

What is the formula for finding the midpoint of a line segment?

Back

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 significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is the center of the circumcircle that passes through all three vertices.