If a tangent from point P touches a circle at point T, what is the relationship

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Question: If a tangent from point P touches a circle at point T, what is the relationship between the radius OT and the tangent PT?

Options:

Correct Answer: OT is perpendicular to PT

Solution:

The radius drawn to the point of tangency is perpendicular to the tangent line at that point.

If a tangent from point P touches a circle at point T, what is the relationship between the radius OT and the tangent PT?

If a tangent from point P touches a circle at point T, what is the relationship between the radius OT and the tangent PT?

Step 1: Identify the circle and the point P outside the circle.
Step 2: Draw the radius OT from the center O of the circle to the point T where the tangent touches the circle.
Step 3: Draw the tangent line PT from point P to point T on the circle.
Step 4: Observe the angle formed between the radius OT and the tangent PT at point T.
Step 5: Understand that the radius OT and the tangent PT meet at point T.
Step 6: Remember that the radius drawn to the point of tangency (T) is always perpendicular to the tangent line (PT).
Step 7: Conclude that the angle between OT and PT is 90 degrees.

Tangent and Radius Relationship – The radius drawn to the point of tangency is always perpendicular to the tangent line at that point.