Composing Transformations as a Matrix Product Worksheet with Answer Key

What's on the worksheet

1. Let $S:
2. The matrices below are turns about the origin, counterclockwise by angles and :
3. Let D be the stretch (x, y) (3x,\ 5y) and K the shear (x, y) (x + 3y,\ y).
4. Let F be the reflection across the line y = 3x and R the turn about the origin with θ = 45 and θ = 35:
5. Let $S:
6. Elena's engraving machine places a design on a plate by three moves, done in this order:
7. For a number q, let X_q be the shear (x, y) (x + qy,\ y) and Y_q the shear (x, y) (x,\ y + qx), so X_q = \begin{bmatrix} 1 & q \\ 0 & 1…