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 midpoint of a line segment?

Back

To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), use the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

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 line segment has endpoints A(2, 3) and B(6, 7), what is the midpoint?

Back

The midpoint is ((2 + 6)/2, (3 + 7)/2) = (4, 5).

Front

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

Back

The slope of a line perpendicular to another line with slope m is -1/m.

Front

If the coordinates of points V and U are V(1, 2) and U(5, 6), what is the length of segment VU?

Back

Front

What is the equation of a perpendicular bisector in slope-intercept form?

Back

The equation of a perpendicular bisector can be found using the midpoint and the negative reciprocal of the slope of the original line segment.

Front

How do you determine if a point lies on the perpendicular bisector of a segment?

Back

To determine if a point lies on the perpendicular bisector, check if it is equidistant from the endpoints of the segment.

Front

What is the distance formula used for?

Back

Front

If the length of segment VU is 16, what is the length of segment UV?

Back

The length of segment UV is also 16, as the lengths of segments VU and UV are equal.