Exercise: Square Construction
Task: Construct a square by following the construction steps below.
1. | ![]() | Select the Segment tool. Click twice in the Graphics View in order to create two points A and B, and a segment between them. |
2. | ![]() | Activate the Perpendicular Line tool. Create a line b that is perpendicular to segment AB and runs through point B. Hint: Select segment AB and then point B in order to create the perpendicular line. |
3. | ![]() | Select the Circle with Center through Point tool and construct a circle c with center B through point A. Hint: First, select point B and then point A. |
4. | ![]() | Select the Intersect tool. Intersect the perpendicular line b with the circle c to get the intersection point C. Hint: Click directly on the intersection of the line and the circle. |
5. | ![]() | Construct a perpendicular line d to line AB that runs through point A. |
6. | ![]() | Select the Circle with Center through Point tool and construct a circle e with center A through point B. |
7. | ![]() | Create the intersection point D of the line d and circle e. |
8. | ![]() | Select the Polygon tool. Create the square ABCD by respectively selecting all four vertices. Hint: To close the polygon, select the first vertex again. |
9. | ![]() | Use the Move tool in order to drag the vertices of the square and observe, how the construction adapts to your modifications. |