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 AB has endpoints A(2, 3) and B(4, 7), what is the midpoint?

Back

Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 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 line segment PQ is bisected at point M, what can be said about PM and MQ?

Back

PM is equal to MQ; they are congruent.

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 equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If the coordinates of points R(1, 2) and S(5, 6) are given, what is the length of segment RS?

Back

Front

What is the distance formula used for?

Back