Perpendicular Bisector Theorem

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

How do you find the length of a segment using the Perpendicular Bisector Theorem?

Back

To find the length of a segment using the Perpendicular Bisector Theorem, identify the midpoint and use the distances from the midpoint to the endpoints.

Front

If point M is the midpoint of segment AB, what can be said about AM and MB?

Back

AM is equal to MB, meaning the two segments are congruent.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

If a point is equidistant from two points, what can be said about its location?

Back

The point lies on the perpendicular bisector of the segment connecting the two points.

Front

Find the value of x if the segments are equal: 2x + 1 = 7.

Back

x = 3.

Front

Use the Perpendicular Bisector Theorem to find the length of segment HG if H and G are endpoints and the distance from H to the midpoint is 14.

Back

HG = 28.

Front

If DC is a segment and the length is found to be 4, what is the total length of the segment if it is bisected?

Back

The total length of segment DC is 8.

Front

Find QS if the equation is given as 2x + 1 = 6.

Back

QS = 2.6.

Front

If JK is a segment and x = 15, what is the length of JK if JK = 3x + 5?

Back

JK = 50.