[b]What is the relationship between a tangent line and the radius that meet on the circle?[/b] [br][br]Use the definitions and hints below, along with the manipulative, to figure out the answer. [br][br][u]Tangent Line:[/u] A line that only touches the circle once. This is represented by line BC.[br][br][u]Radius:[/u] The segment connecting the center of the circle to the circumference of the circle. This is represented by segment AB. [br][br][b]Hint:[/b] What do you think the measure of angle ABC is? What theorem can you use to show this when you have a triangle?[br]

[b]Hint:[/b] Can you verify that BC[sup]2[/sup] + BA[sup]2[/sup] = AC[sup]2[/sup] ? What does this mean is true about angle ABC, also known as where the tangent meets the radius?