Page 162 - MAT KS3 Y8 Cambridge CheckPoint

16.1 Transforming shapes

2 Copy each diagram. Use the translation you are given to draw the image of the object.
a b c d

3 squares right 2 squares right 4 squares left 1 square left
2 squares up 3 squares down 1 square up 3 squares down

3 Copy each diagram. Use the information you are given to rotate the shape.
a y b y c y
6 6
6
5 5 5
4 4 4
3 3 3
2 2 2
1 1 1
0 0 0
01234567 x 0 1 2 3 4 5 6 7 x 0 1 2 3 4 5 6 7 x

180 ° 90 ° clockwise 90 ° anticlockwise
centre (4, 4) centre (4, 3) centre (4, 3)
4 The diagram shows triangle A. Make three copies of the diagram. y
Draw the image of A after each combination of transformations. 6
Use a different copy of the diagram for each part. 5 A
a a translation 4 squares right and 1 square down followed by 4
a reflection in the line y = 3 3
b a rotation of 90 ° anticlockwise, centre (3, 5) followed 2
by a translation 3 squares right and 2 squares down 1
c a reflection in the line x = 4 followed by a rotation of 180 °, 0 x
0 1 2 3 4 5 6 7
centre (6, 4).
5 The diagram shows five triangles, A to E.
Here are four transformations.
a a translation 3 right and 1 down followed by a reflection in y
6
the line y = 3 B E
5
b a reflection in the line x = 4 followed by a reflection in
4
the line y = 2 D
3
c a rotation 90 ° anticlockwise, centre (4, 5) followed by a C
2
translation 2 left and 2 down A
1
d a reflection in the line y = 4 followed by 0
a rotation 90 ° anticlockwise, centre (7, 6) 01234567 x
Work out which triangle is transformed to which other triangle
by each of the transformations.

160 16 Position and movement