If a tangent from point P touches the circle at point T, which of the following
Practice Questions
Q1
If a tangent from point P touches the circle at point T, which of the following statements is true?
PT is perpendicular to the radius OT
PT is parallel to the radius OT
PT is equal to the radius OT
PT bisects the angle OTP
Questions & Step-by-Step Solutions
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.
