Perpendicular Bisector and Angle Bisector

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

How do you find the length of a segment using the perpendicular bisector?

Back

Use the midpoint formula and the distance formula to calculate the lengths.

Front

What is the relationship between a point on the perpendicular bisector and the endpoints of the segment?

Back

Any point on the perpendicular bisector is equidistant from the endpoints of the segment.

Front

What is the significance of the angle bisector in triangle geometry?

Back

The angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

Front

If a segment is divided into two equal parts, what is the length of each part if the total length is 28?

Back

14.

Front

What is the formula for finding the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint is given by the formula \( \left( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} \right) \).