Reflections, rotations and translations
Watch the whole lecture free
Make a free account to watch every lecture to the end: 7 practice questions, 1 real past-paper question with the answer explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
That was the teaching part. The rest of this lecture is free with an account: 7 practice questions, 1 real past-paper question with the answer explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
No password needed now: we email you a link to set one. Already have an account? Sign in, then come back to this page.
The teaching part (1 min) is free to watch. A free account opens the whole lecture: 7 practice questions, 1 real past-paper question with the answer explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
What this lecture covers
- Slide, flip, turn
- Translation
Read the transcript of the teaching part
Last time
Before we start: last time, in Three-dimensional problems, you learned these points. Here they are again on one card. Keep them in mind, because today builds on them.
Slide, flip, turn
Shape A sits on a grid. Slide it across the grid and you have a translation. Flip it over a line and you have a reflection. Turn it round a point and you have a rotation. In all three, the shape stays exactly the same size, so the image is congruent to the original. Only the position and the direction change.
Translation
A translation slides every point the same distance in the same direction. We describe it with a column vector. The top number is movement across: positive is right, negative is left. The bottom number is up for positive, down for negative. The point two, three under the vector four, minus two goes to six, one.
How often it comes up
How often Cambridge has asked each part, counted by ExamYard from every past paper in its question bank: Describing transformations · Drawing transformations.
The whole chapter: Transformations.
Chapter 27: Transformations
- Enlargements 6 min
- Reflections, rotations and translations 6 min
Also for O Level Maths 4024
Which topics come up most in O Level Maths 4024 past papers, counted from every paper since 2004.