Describing translations
The Maths Habit
A slides to B. Ali counts the gap. He says A moved 2 squares right. Is Ali right?
No. Follow one corner: A moved 5 squares right.
The dot slides from P to Q. How many squares right? How many squares up?
- Translation
- A slide. The shape does not turn or flip.
- Column vector
- Two numbers, one above the other, in brackets. They say how far the shape slides.
- Corner
- A point where two sides of a shape meet.
A slides to B. Which corner of B matches the dot on A?
A to B
- Pick a corner.Mark a dot on a corner of A. Mark the same corner of B.
- Count the squares.Across first: right or left. Then up or down. Count squares, not lines.5right/left2up/down
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe each translation in words.
1A to B
2A to B
3A to B
Which way does each vector slide the shape?
5 left, 2 down
- Write the vector.The top number: right or left. The bottom number: up or down.
- Left or down: a minus.Right or up: no sign.
- Translation by the vector −5−2Say the word translation and give the vector.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe A to B.
Describe each translation as a column vector.
1A to B
2A to B
3A to B
Is the vector from A to B right? Thumbs up or thumbs down.
Answer sheet
A corner of a shape moves from (2, 5) to (7, 1). Write the column vector.
5−4The vector 3−2 maps A onto B. Write the vector that maps B onto A.
−32A shape is translated by 21 and then by 34. Write one vector that does the same job.
55
Describe the translation A to B.4 right, 1 up41
Describe the translation A to B.5 left, 1 up−51
Describe fully the transformation.
Translation by 4−2