6.1 Perpendicular Bisector

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

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

Back

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

If a point P lies on the perpendicular bisector of segment AB, what can be said about the distances PA and PB?

Back

The distances PA and PB are equal.

Front

How do you determine if a line is a perpendicular bisector of a segment?

Back

A line is a perpendicular bisector if it intersects the segment at its midpoint and forms right angles with the segment.

Front

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

Back

Front

If the coordinates of points A and B are (2, 3) and (4, 7), what is the midpoint?

Back

Front

What is the slope of a line perpendicular to another line with slope m?

Back

Front

If line segment AB has endpoints A(1, 2) and B(5, 6), what is the length of AB?

Back

Front

What is the equation of a line given a point and a slope?

Back