# Exploring Angles and Chords in Circles

- Author:
- jeremyknight

Use the Geogebra activity below to explore and answer the questions below.

## 1. Make a 180 degree and a 90 degree angle.

What do you notice about the size of the arcs made by these angles?

## 2. Make the angles congruent.

Finish this statement: Congruent central angles make ______________arcs

## 3. Now show the chords, Change the chords until they are the same length.

Finish this statement: Congruent chords make ___________________ arcs. Congruent Chords make ____________________ central angles.

## 4. Hide the arcs and just show the chords and the chord distances. Change the chords until they are different then they were but they are equal.

Finish this statement: Congruent chords are ___________________ from the center.

## 5. Hide the chord distances, and just show the chords and the Ppd bisectors.

Move the chords around until they are both different. Finish this statement: The Perpendicular bisector of ANY chord _____________________________________