Perpendicular Bisector Theorem

Front

What does the Perpendicular Bisector Theorem state?

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

If point P lies on the perpendicular bisector of segment AB, what can be said about the distances PA and PB?

Back

PA = PB (the distances are equal).

Front

How can you find the length of a segment if you know the coordinates of its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

If AD = 8 and D is the midpoint of segment AB, what is the length of AB?

Back

AB = 2 * AD = 16.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of their slopes is -1.

Front

If JK = 50 and x = 15, what is the relationship between x and JK?

Back

x is a variable that can represent a length related to JK.

Front

What is the value of 'a' if it is given that 'a' is an angle in a triangle and the other angles are 45 and 90 degrees?

Back

a = 45 degrees.

Front

How do you determine if two segments are congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the significance of the midpoint in the context of the Perpendicular Bisector Theorem?

Back

The midpoint is the point where the segment is divided into two equal parts.