Which of the following must be true about a perpendicular bisector and the segment it bisects? A. The perpendicular bisector and the segment bisect each other. B. The angle of intersection depends on the length of the line segment. C. The perpendicular bisector intersects the segment at a 45° angle. D. The perpendicular bisector intersects the segment at a 90° angle.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely so correct option is D.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A perpendicular bisector is a line segment that bisects another line segment at 90˚.

In other words, a perpendicular bisector encounters another line segment at 90° and splits it into two equal halves.

The statement is true about the perpendicular bisector and the segment it bisects is the perpendicular bisector intersects the segment at a 90 degree angle.

We can see that CD is a perpendicular bisector for line segment AB, therefore, CD divides the line AB into two equal parts AC and CD.

Also, angle between the two lines will be 90°.

Hence, the correct option is D. The perpendicular bisector intersects the segment at a 90° angle.

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