Reflection with coordinates

1 Threepoints,A,BandC,areshownonthecoordinategrid.

a) WritethecoordinatesofpointA. ( , )

ReflectpointAinthemirrorline.

LabelthisnewpointD.

WritethecoordinatesofpointD. ( , )

b) WritethecoordinatesofpointB. ( , )

ReflectpointBinthemirrorline.

LabelthisnewpointE.

WritethecoordinatesofpointE. ( , )

c) WritethecoordinatesofpointC. ( , )

ReflectpointCinthemirrorline.

LabelthisnewpointF.

WritethecoordinatesofpointF. ( , )

Whatdoyounotice?Talkaboutitwithapartner.

2 Fourpointsareplottedonthecoordinategrid.

a) Jointhepointstoformatrapezium.

b) Reflectthetrapeziuminthegivenmirrorline.

c) Completethetabletoshowthecoordinatesofeachpointbefore

andafterthereflection.

VertexCoordinate

beforereflection

Coordinate

afterreflection

J

K

L

M

Whatdoyounoticeaboutthecoordinates?

©WhiteRoseMaths2020

0 21 3 4 5 6 7 8 9 10

1

2

3

4

6

5

7

8

9

10

x

y

C

A

B

0 21 3 4 5 6 7 8 9 10

1

2

3

4

6

5

7

8

9

10

x

y

LM

J K

©WhiteRoseMaths2020

3 ObjectAisreflectedinthemirrorlinetogiveimageB.

Completethetabletoshowthecoordinatesofeachvertexofthe

objectandtheimage.

VertexCoordinate

beforereflection

Coordinate

afterreflection

W

X

Y

Z

Whatdoyounoticeaboutthecoordinates?

4 Thesearethecoordinatesoftheverticesofapentagon.

a) Drawthepentagononthecoordinategrid.

LabelthispentagonA.Thisistheobject.

b) Reflecttheobjectinthehorizontalmirrorline.LabelthisimageB.

c) Reflecttheobjectintheverticalmirrorline.LabelthisimageC.

d) Completethetabletoshowtheverticesoftheobjectand

theimages.

VertexCoordinate

(object)

Coordinate

(imageB)

Coordinate

(imageC)

P

Q

R

S

T

Compareanswerswithapartner.Whatdoyounotice?

P(2,10)

Q(8,10)

R(2,8)

S(8,8)

T(4,6)

0 21 3 4 5 6 7 8 9 10

1

2

3

4

6

5

7

8

9

10

x

y

W

0 42 6 8 10 12 14 16 18 20 22 24

2

4

6

8

12

10

14

16

18

20

x

y

X

Y

B

A

Z