Which of the following must be true about 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 interests the segment at a 45 degree angle D. The perpendicular bisector intersects the segment at a 90 degree angle

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The 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 terms, a perpendicular bisector encounters another line segment at 90° and splits it into two equal halves.

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

This can be seen in the diagram below, CD is a perpendicular bisector for line segment AB, therefore, CD divides the line AB into two equal parts AC and CD. Also, the angle between the two lines will be 90°.

Hence, the correct option is D.

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