Question

exploring the relationship between a radius and a tangent
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 angles formed by the intersection of the radius and tangent are right angles.

Explanation:

The geometric principle states that a radius to the point of tangency is perpendicular to the tangent line. A right angle measures \(90^\circ\), so both statements are correct as they describe the same relationship (perpendicularity, which is a right angle or \(90^\circ\) angle).

Answer:

Both options are correct:

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