# Congruent Corresponding Angles to Start? (Quick Investigation)

- Author:
- Tim Brzezinski

- Topic:
- Angles, Congruence

**purple angle's measure**can be changed by

**adjusting the slider.**In addition, the

**BIG WHITE POINTS**can be moved anywhere you'd like.

## 1.

Select the **ANGLE WITH GIVEN SIZE** tool. Then select points *E *and *C* (in that order). When the input box pops up, type in and select **clockwise**.
(This will construct an angle congruent to the purple angle below with vertex *C*.)

## 2.

Construct a **ray** with endpoint *C* that serves as the **other side** of this **new purple angle** you've just constructed.

## 3.

Now, use the **purple slider** to change the size of the **2 congruent purple angles**. Be sure to also change the locations of the **BIG WHITE POINTS**.
What seems to be true about the **yellow ray **and the **orange ray**?

## 4.

Use GeoGebra to show that your claim (response to question 3) is true! Explain how your work shows your assertion is true.

## 5.

Write what you've just observed as a conditional (if-then) statement. How does this conditional statement relate to the conditional statement we've discovered in our previous class?