# Isosceles Triangle Exploration

## DIRECTIONS:

1) Use the CIRCLE WITH CENTER THROUGH POINT tool to construct a circle with center

*A*that passes through*B*. 2) Select the POINT ON OBJECT tool. With this tool selected, touch the circle in 2 different spots to plot two different points,*C*and*D*, on the circle itself.3) Use the POLYGON tool to construct the triangle *ACD*.
How would you classify this triangle by its sides? Why is this?

4) Select the MOVE tool. Now touch one blue segment that serves as a side of this triangle.
In the style bar that appears, select the "Aa" icon. Check "Value" to show the length of this segment.
Repeat this action for the other 2 sides as well.
5) Use the ANGLE tool to find and display the measures of all 3 angles of this triangle.

## 6)

What do you notice about two of the angles? (Be sure to select the MOVE tool again and move all 4 points around!)

## 7)

What can you say about all isosceles triangle that is not always true about other triangles? This is called the Isosceles Triangle Theorem.

When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.