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 identify a perpendicular bisector in a diagram?

Back

Look for a line that intersects a segment at its midpoint and forms right angles with that segment.

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 segment AB is bisected at point C, what can be said about AC and BC?

Back

AC = BC, meaning the two segments are equal in length.

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the slope of a line perpendicular to another line?

Back

The slope of a perpendicular line is the negative reciprocal of the slope of the original line.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If the coordinates of points A and B are (2, 3) and (6, 7), what is the midpoint?

Back

Midpoint = ((2 + 6)/2, (3 + 7)/2) = (4, 5).

Front

Given points A(1, 2) and B(3, 4), what is the distance AB?

Back