| Construction Algorithm | ||
| 1 |  |
Construct a line AB as a given base of the rhombus. |
| 2 |  |
Construct the line BC so that AB = BC. |
| 3 | |
Construct the diagonal AC. |
| 4 |  |
Define a reflection whose mirror AC. (Use the menu item "Modes/Transformation /Reflection" then select AC as a mirror). |
| 5 |  |
Construct the image of the elements B, a, b by reflection on AC by selecting the point B and the two lines a and b then click on the reflection button defined in step 4. |
| 6 |  |
Join up the four points to get the required rhombus. |
| 7 | |
Switch to drag mode. Pick a free element. Move it around to check your construction. |
| Construction Theorems | ||
| A rhombus is a quadrilateral
with four equal sides. Reflection preserves the distance between points. |
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