Translations

1

Describethetranslations.

a) FromPtoQis rightand up

b) FromQtoRis rightand up

c) FromRtoSis leftand up

d) FromStoPis and

e) FromQtoPis and

f) FromRtoQis and

g) FromStoRis and

h) FromPtoSis and

2

DoyouagreewithRosie?

Explainyouranswer.

3 Translatethetriangle6left.

©WhiteRoseMaths2019

The translation from A to B is

1 right and 1 up.

0 21 3 4 5 6 7 8 9 10

1

2

3

4

6

5

7

8

9

10

x

y

0 21 3 4 5 6 7 8 9 10

1

2

3

4

6

5

7

8

9

10

x

y

P

Q

R

S

0 1 2 3 4 5–5 –4 –3 –2 –1

–5

–4

–3

–2

–1

1

2

3

4

5

x

y

A

B

6 Atriangleisdrawnonthecoordinategrid.

a) Translatethetriangle9rightand1down.

b) Tickthecorrectboxforeachcoordinate.

PointInsidethe

newtriangleOutsidethenewtriangle

Ontheperimeterofthenewtriangle

(0,0)

(4,–5)

(2,–1)

(–6,–3)

(3,–4)

7

Thisparallelogramhasbeentranslated50leftand25down.

Whatwerethecoordinatesofallfourverticesbeforeitwastranslated?

x

y

4 Thesecoordinatesformaquadrilateral:(–5,5),(–5,1),(–1,4),(–1,2)

Itistranslated3rightand4down.

Drawthequadrilateralonthegridinitsnewposition.

5

Whichtrianglesaretranslationsofeachother?

Explainwhytheothersarenottranslations.

©WhiteRoseMaths2019

0 1 2 3 4 5–5 –4 –3 –2 –1

–5

–4

–3

–2

–1

1

2

3

4

5

x

y

x

y

A C

BD E

0 21 3 4 5 6 7 8 9 10–9–10 –8 –7 –6 –5 –4 –3 –2 –1

1

2

3

4

–5

–6

–4

–3

–2

–1

x

y

(–8,1)

(–8,–4)

(–21,–11)

(–40,–40) (–10,–40)

(–4,–4)