Chords

Jenni McIntire and Teresa Davis


This lab is to explore properties of chords of a circle.

A chord is a segment whose endpoints are on the circle.


Investigation:
In Sketchpad, make the following construction.

What do you notice about these measures? What conjecture can you make about a raduis that bisects a chord? Do you think this would work the opposite way?


Investigation:
In Sketchpad, make the following construction.

What do you notice about these measures? What conjecture can you make about central angles formed by congruent chords? If you move any of the points, does you conjecture remain true?

What do you notice about these measures? What conjecture can you make about arcs formed by congruent chords? If you move any of the points, does you conjecture remain true?


Investigation:
In Sketchpad, make the following construction.

The addition, subtraction, multiplication,and division of your data is in columns 3, 4, 5, and 6 respectively. Do you notice anything about these computations?


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