One transformation after another, the points that never move, and what a negative scale factor does.
One after another
For a combined transformation, do the first one, then apply the second one to the image.
The order matters: a reflection then a translation usually lands somewhere different from the translation then the reflection.
- P(3, 1): reflect in the x-axis, then rotate 90° anticlockwise about the origin
- Reflect: (3, 1) → (3, −1)
- Rotate: (x, y) → (−y, x), so (3, −1) → (1, 3)
- One map does both: (3, 1) → (1, 3) is a reflection in y = x
To name the single transformation, follow two or three points through both steps and ask which one transformation sends every point to the same place.
The rest of this lesson and its 8 practice questions are in Plus.
Screen 1 of 4, free to read.
- 8 exam-style questions, marked as you go, each with a worked solution
- Anything you get wrong is saved to your flashcards