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 lines?

Back

They intersect at a right angle (90 degrees).

Front

How do you find 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

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 formula for finding the length of a segment given its endpoints?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

If the product of their slopes is -1, the lines are perpendicular.

Front

What is the significance of the circumcenter in a triangle?

Back

It is the point where the perpendicular bisectors of the sides intersect.

Front

What is the significance of the incenter in a triangle?

Back

It is the point where the angle bisectors of the angles intersect.