Introductory Investigation for 2D Matrix Transformations
Introduction
Using the applet below, investigate what happens to the unit square when we apply different matrix transformations.
Use the sliders to change the transformatrix matrix 'M'
Credit: This investigation is based on the activity authored by skv found here: https://www.geogebra.org/m/h2apm2up
Investigation Questions:
- What Matrix produces the following shape?
- What Matrix produces the following rectangle?
- How many matrices you can find that produce the following same shape? What transformations occurred to attain the new shape?
- Which Matrix produces the shape below?
As you change your matrices, what do you notice about the new positions of points 'B' and 'D'?