Question

which of the following is a perpendicular bisector? o o o none of the above.

Explanation:

Step1: Recall the definition of a perpendicular bisector

A perpendicular bisector of a line segment is a line that is perpendicular to the segment and divides it into two equal parts.

Step2: Analyze the first figure

The first figure shows a line that divides the base of the triangle into two equal parts (marked with equal - length indicators) but it is not perpendicular to the base.

Step3: Analyze the second figure

The second figure shows a line that is perpendicular to the base of the triangle but it does not bisect the base (no equal - length indicators on the base).

Step4: Analyze the third figure

The third figure shows a line that is perpendicular to the base (right - angle indicator) and also bisects the base (equal - length indicators on the base).

Answer:

The third option (the figure with the line that is both perpendicular to the base and bisects it)