Perpendicular Bisector Theorem ET

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

Define a perpendicular bisector.

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

If point P is on the perpendicular bisector of segment AB, what can we say about the distances PA and PB?

Back

PA = PB; point P is equidistant from points A and B.

Front

How do you find the midpoint of a segment?

Back

The midpoint of a segment is found by averaging the x-coordinates and the y-coordinates of the endpoints.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Front

What is the significance of the slope of a perpendicular bisector?

Back

The slope of a perpendicular bisector is the negative reciprocal of the slope of the segment it bisects.

Front

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

Back

Front

What is the relationship between the lengths of segments created by a perpendicular bisector?

Back

The lengths of the segments created by the perpendicular bisector are equal.

Front

How can you verify if a point lies on the perpendicular bisector of a segment?

Back

You can verify by checking if the distances from the point to the endpoints of the segment are equal.