Question

Answer each question with a complete sentence for full credit.What do you know about the angle where a tangent and radius intersect? What do you know about two segments that are tangent to a circle from the same point? What is thedifference between a secant and a tangent?

Answer 1

QUESTION 1

When a tangent to a circle intersects the circle's radius, the angle formed is a right angle.

This is based on the Circle Theorems: "The angle between a tangent and a radius is 90°.

QUESTION 2

A tangent to a circle is a straight line that touches the circle at only one point.

Consider the image below:

If two segments from the same exterior point are tangent to a circle, then they are congruent. This means that for the image above, we have that:

$\overline{AB}\cong\overline{AC}$

QUESTION 3

The basic difference between a secant and a tangent is that in a secant, the line intersects the circle at two points. But a tangent intersects the circle at only one point around its outer line.