# Copy of Circumcenter & Circumcircle Action!

- Author:
- Ashley Moss, Tim Brzezinski

**WHITE VERTICES**both

**BEFORE**and

**AFTER**sliding the slider!

## 1.

What can you conclude about the **3 smaller white points**? What are they? How do you know this?

## 2.

What is the measure of each **gray angle**? How do you know this?

## 3.

What vocabulary term best describes each **brown line**? Why is this?

## 4.

Describe **the intersection** of these **3 brown lines**. **How do they intersect?**

## 5.

Use the **angle tool** to now **measure and display the measures of this triangle's ****3 interior angles. **

**Point C**is called the

**circumcenter**of the triangle. Drag the triangle's

**LARGE WHITE VERTICES**around to help you answer the new few questions.

## 6.

Is it ever possible for the **circumcenter **to lie *outside the triangle*?
If so, how would you classify such a triangle by its angles?

## 7.

Is it ever possible for the **circumcenter** to lie *on the triangle itself*?
If so, how would you classify such a triangle by its angles?
And if so, *where exactly on the triangle* is the **circumcenter** found?

## 8.

Is it ever possible for the **circumcenter** to lie *inside the triangle*?
If so, how would you classify such a triangle by its angles?

## 9.

What is so special about the **blue circle **with respect to the triangle's **WHITE VERTICES**?

## 10.

What **previously learned theorem** easily implies that the distance from the **circumcenter** to any **vertex **is equal to the distance from the **circumcenter** to any other **vertex**?