# Inscribed Angle Theorem (V1)

- Author:
- Tim Brzezinski

- Topic:
- Angles

**The PINK ANGLE is said to be an INSCRIBED ANGLE**of a circle. You can move the pink point anywhere on the NON-BLUE arc of the circle.

**You can change the size of the BLUE intercepted arc**by moving either of the white points. You can also adjust the circle's radius using the

**GRAY POINT**. Answer the questions that follow.

## 1.

Without looking up the definition on another tab in your internet browser, **how would you describe (define) the concept of an inscribed angle of a circle? **

## 2.

**How many inscribed angles** fit inside the **blue central angle** that intercepts (cuts off) the **same arc**?

## 3.

Given your result for (2), how does the **measure of the pink inscribed angle** compare with the **measure of the blue intercepted arc? **

## 4.

Try testing your informal conclusions for (responses to) (2) and (3) a few times by dragging the slider back to its starting position, **changing the location of the pink inscribed angle**, and **changing the size of the blue intercepted arc**.
Then slide the slider again.
**
Do your conclusions for (2) and (3) ALWAYS hold true? **