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 are right angles. the angles formed by the intersection of the radius and tangent measure 90°. the tangent is perpendicular to the radius.

Explanation:

The tangent to a circle is perpendicular to the radius at the point of tangency. A right angle measures \( 90^\circ \), so the angle between the radius and tangent is a right angle (measures \( 90^\circ \)) and they are perpendicular. All three options describe this relationship: the first says the angle is a right angle, the second says it measures \( 90^\circ \) (which is a right angle), and the third says the tangent is perpendicular to the radius (which means the angle between them is \( 90^\circ \)/a right angle).

Answer:

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