Translating shapes

The Maths Habit

Shape A slides along the grid. It does not turn or flip. Which shape can it land on: B, C or D?

BCDA

C. B is turned round. D is flipped over.

The dot slides from P to Q. How many squares right? How many squares up?

PQ4 right, 3 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.
image
Image
The shape after it has moved.

Translate A by 42

AB
  1. Read the vector.The top number: how far right. The bottom number: how far up.
    topright/leftbottomup/down
  2. Move every corner.Each corner slides the same way. Count the squares. Mark a dot.
  3. Join the corners.The image is the same size and the same way round.

Translate shape A by 42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 43

AB
1Read the vector.
4right/left3up/down
2Move every corner.
3Join the corners.

Translate shape A by 42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 51

AB
1Read the vector.
rightup
2Move every corner.
3Join the corners.
1Read the vector.
5right/left1up/down
2Move every corner.
3Join the corners.

Translate shape A by 42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 23

AB
1Read the vector.
rightup
2Move every corner.
3Join the corners.
1Read the vector.
2right/left3up/down
2Move every corner.
3Join the corners.

Translate shape A by 42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 62

AB
1Read the vector.
rightup
2Move every corner.
3Join the corners.
1Read the vector.
6right/left2up/down
2Move every corner.
3Join the corners.

Translate each shape A.

1Read the vector.
rightup
2Move every corner.
3Join the corners.

1Translate A by 52

AB
1Read the vector.
5right/left2up/down
2Move every corner.
3Join the corners.

2Translate A by 13

AB
1Read the vector.
1right/left3up/down
2Move every corner.
3Join the corners.

3Translate A by 34

AB
1Read the vector.
3right/left4up/down
2Move every corner.
3Join the corners.

Which way does each vector slide the shape?

A−313 left, 1 up
B2−42 right, 4 down
C−5−25 left, 2 down
D6−16 right, 1 down

righttop numberleftminus on topupbottom numberdownminus on the bottom
  1. A minus on top means left.−31 slides 3 left.
  2. A minus on the bottom means down.4−2 slides 2 down.
  3. Use the same frame.Read the vector. Move every corner. Join the corners.

Translate shape A by −42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 4−3

AB
1Read the vector.
4right/left3up/down
2Move every corner.
3Join the corners.

Translate shape A by −42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by −4−3

AB
1Read the vector.
right or leftup or down
A minus: left or down.
2Move every corner.
3Join the corners.
1Read the vector.
4right/left3up/down
2Move every corner.
3Join the corners.

Translate shape A by −42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by −43

AB
1Read the vector.
right or leftup or down
A minus: left or down.
2Move every corner.
3Join the corners.
1Read the vector.
4right/left3up/down
2Move every corner.
3Join the corners.

Translate shape A by −42

AB
1Read the vector.
4right/left2up/down
2Move every corner.
3Join the corners.

Translate shape A by 5−3

AB
1Read the vector.
right or leftup or down
A minus: left or down.
2Move every corner.
3Join the corners.
1Read the vector.
5right/left3up/down
2Move every corner.
3Join the corners.

Translate each shape A.

1Read the vector.
right or leftup or down
2Move every corner.
3Join the corners.

1Translate A by −51

AB
1Read the vector.
5right/left1up/down
2Move every corner.
3Join the corners.

2Translate A by 3−4

AB
1Read the vector.
3right/left4up/down
2Move every corner.
3Join the corners.

3Translate A by −3−2

AB
1Read the vector.
3right/left2up/down
2Move every corner.
3Join the corners.

Is B the right slide? Thumbs up or thumbs down.

A32ABRight
B−23ABWrong: it should go 2 left
C4−2ABRight
D2−3ABWrong: it should go 2 right, 3 down

Translating shapes worksheet, page 1

Translating shapes worksheet, page 2

Answer sheet

  1. A shape is translated by 21 and then by 34. Write one vector that does the same job.

    55

  2. A corner of a shape slides from (1, 2) to (4, 7). Write the column vector.

    35

  3. A shape is translated by 4−2. Which vector slides it back?

    −42

  1. Translate shape A by 32. 3right/left2up/down (Draw it on your ticket.)

    A

  2. Translate shape A by −41. 4 left1 up (Draw it on your ticket.)

    A

  3. Translate shape A by 2−3. (Draw it on your ticket.)

    2 right, 3 down
    A
Exit tickets to print