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