# G.GCI.2 Properties of Tangents Drawn to Circles (A)

In the applet below, 2 tangent rays are drawn to a circle from a point outside that circle.
Interact with the applet below for a few minutes. As you do, be sure to change the locations of the

**blue points**(i.e. alter the size of the circle) and**yellow point**. After doing so, please answer the questions that follow.## 1.

What is the measure of each **pink angle** displayed? Explain how you know this.

## 2.

What can you conclude about the **distances** from the **yellow point (outside the circle)** to each of the smaller white points on the circle?

## Quick (Silent) Demo

## 3.

Given your response for (1), how could we prove that your response to (2) is true? (Assume we didn't see the rotation at the very end of the animation).