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

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is the point of concurrency of the perpendicular bisectors of a triangle called?

Back

Circumcenter.

Front

What is the property of the circumcenter in relation to the triangle's vertices?

Back

It is equidistant from all three vertices of the triangle.

Front

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

Back

Use the property that vertical angles are equal and the sum of adjacent angles is 180 degrees.

Front

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

Back

90 degrees.

Front

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

Back

180 degrees.

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

Corresponding angles are equal, and alternate interior angles are equal.

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 incenter of a triangle?

Back

It is the point where the angle bisectors of a triangle intersect and is equidistant from all sides.