If a tangent from point P touches the circle at point T, which of the following

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Question: If a tangent from point P touches the circle at point T, which of the following statements is true?

Options:

Correct Answer: PT is perpendicular to the radius OT

Solution:

The tangent to a circle at any point is perpendicular to the radius drawn to the point of tangency.

If a tangent from point P touches the circle at point T, which of the following statements is true?

If a tangent from point P touches the circle at point T, which of the following statements is true?

Step 1: Understand what a tangent is. A tangent is a straight line that touches a circle at exactly one point.
Step 2: Identify the point where the tangent touches the circle. This point is called the point of tangency, which we will call T.
Step 3: Recognize that there is a radius of the circle that connects the center of the circle to the point T.
Step 4: Remember the key property of tangents: the tangent line at point T is always perpendicular to the radius drawn to point T.
Step 5: Conclude that if you have a tangent from point P that touches the circle at point T, the statement that the tangent is perpendicular to the radius at T is true.

Tangent and Radius Relationship – The tangent line to a circle at a given point is always perpendicular to the radius that connects the center of the circle to that point.