The statement 'A tangent line to a circle is perpendicular to the radius at the point of tangency' is

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Multiple Choice

The statement 'A tangent line to a circle is perpendicular to the radius at the point of tangency' is

A tangent line to a circle at a point is perpendicular to the radius drawn to that point. This happens because the distance from the circle’s center to any tangent line equals the circle’s radius. The closest point from the center to that line is the point of tangency itself, so the radius to that point must meet the tangent line at a right angle. Therefore the statement holds true in all cases, not just sometimes or never.

A tangent line to a circle at a point is perpendicular to the radius drawn to that point. This happens because the distance from the circle’s center to any tangent line equals the circle’s radius. The closest point from the center to that line is the point of tangency itself, so the radius to that point must meet the tangent line at a right angle. Therefore the statement holds true in all cases, not just sometimes or never.

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