Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
Drawing a triangle is not always as easy as you might think!
Can you make sense of the three methods to work out the area of the kite in the square?