rhombus and rectangle
I try to construct a figure based on an exam question.
We need a rhombus ABCD. G and H are on the extension of AC and BC such that CGHF forms a rectangle and EF is parallel to BC.
The video below shows the steps in this construction. Note that the sequence of points created follow their alphabetical order.
One may note that the creation and position of F is critical. Once it is constructed, we may note that CFDE must be a rectangle. The rectangle required (CGHF) will just be its mirror image.
Try the question below or create some others based on this figure.
Which of the following are correct?