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.
This task requires learners to explain and help others, asking and answering questions.
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?
Can you make sense of the three methods to work out the area of the kite in the square?
Drawing a triangle is not always as easy as you might think!
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?