Exploring Isosceles Triangles (VA)
- Tim Brzezinski
In the GeoGebra Geometry app window below:
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?
Keep going: More directions appear below this applet.
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.
What do you notice? (Be sure to select the MOVE tool again and move all 4 points around!)