Question

if a line is perpendicular to a line segment, what angle do they form at their intersection?
a. 90°
b. 45°
c. 180°
d. 0°

Explanation:

By the definition of perpendicular lines, when two lines (or a line and a line segment) are perpendicular, the angle formed at their intersection is \(90^{\circ}\). Options B (\(45^{\circ}\)), C (\(180^{\circ}\)), and D (\(0^{\circ}\)) do not match the definition of perpendicularity. A \(45^{\circ}\) angle is an acute angle (not right), a \(180^{\circ}\) angle is a straight angle (not formed by perpendicular lines), and a \(0^{\circ}\) angle implies the lines are coincident or parallel (not perpendicular). So the correct answer is based on the geometric definition of perpendicularity.

Answer:

A. \(90^{\circ}\)