Answer to the first challenge by Anthony OR - GGG 2015
- Irina Boyadzhiev
Problem: Given are three parallel lines and . Construct an equilateral triangle such that each of its vertices is on one of the lines. Solution: For any equilateral triangle a rotation with center one of the vertices and angle will map one of the remaining vertices onto the third vertex. Let be an arbitrary point on line .
- Drag the slider to the end to rotate line on angle around point .
- Click on the Construction button to finish the construction.
- Drag the gray points to change the positions of the lines.
- What do you notice when line is above line or below line ?