Question

move point b to various locations on the circle, and measure the angles that are formed. make a conjecture. what relationship exists between the radius and tangent? the angles formed by the intersection of the radius and tangent measure 90°. the tangent is perpendicular to the radius. the angles formed by the intersection of the radius and tangent are right angles.

Explanation:

To determine the correct options, we recall the geometric property of a tangent to a circle: A tangent to a circle is perpendicular to the radius at the point of tangency. A 90° angle is a right angle, so all three statements are correct as they describe the same relationship (perpendicularity, 90° measure, right angle) between the radius and the tangent at the point of contact.

Answer:

• The angles formed by the intersection of the radius and tangent measure \( 90^\circ \).
• The tangent is perpendicular to the radius.
• The angles formed by the intersection of the radius and tangent are right angles.