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GeoGebraGeoGebra Classroom

Isosceles Triangle: Quick Construction

Directions:

In the app below,
  1. Construct a circle using the CIRCLE tool Toolbar Image.
  2. Use the POINT ON OBJECT tool Toolbar Image to plot 2 additional points that lie on this circle.
  3. Use the POLYGON tool Toolbar Image to construct a polygon whose vertices are the circle's center and the two points you just constructed in step (2) above.

Keep going: More directions appear below this app.

4. Select the MOVE tool Toolbar Image now and move the vertices of this triangle around. How would you classify this triangle by its sides? Why would you classify it this way?

5. Select the ANGLE Toolbar Image tool to find and display the measures of all 3 angles of this triangle. What do you notice? (Be sure to select the MOVE Toolbar Image tool again so you can keep dragging the triangle's vertices around.)