Page 169 - Mathematics Coursebook

End of unit review

End of unit review

1 Copy each diagram and reflect the shape in the mirror line.
a b c d

2 Copy each diagram and rotate the shape using the given information.
a b c yyy y d yyy y
666 6 666 6
555 5 555 5
444 4 444 4
CCCC 333 3 333 3
CCCC
222 2 222 2
111 1 111 1
000 0 xxx x 000 0 xxx x
000 1 221 20 1 1 3332 4443 5 665 64 5 5 6 000 1 221 20 1 1 3332 4443 5 665 64 5 5 6
half-turn quarter-turn 180° turn 90° turn anticlockwise
centre C clockwise centre C centre (4, 3) centre (5, 2)

3 The diagram shows triangles A, B, C and D. y
a Write down the equation of the mirror line that reflects: 6 5 C
i triangle A to triangle B ii triangle A to triangle C. 4
b Describe the rotation that transforms: 3 D
i triangle C to triangle D ii triangle B to triangle C. 2 A B
1
0
0 1 2 3 4 5 6 x
4 Copy the diagram.
a Translate shape P 5 squares left and 4 squares down.
Label the image Q. P
b Translate shape Q 4 squares right and 1 square up.
Label the image R.
c Describe the translation that takes shape P to shape R.
d Explain how you could work out the answer to part c without
drawing shapes Q and R.
5 Mia draws a shape on a coordinate grid. She labels the shape X.
She draws the image of shape X after a translation of 5 squares left and 3 squares up.
She labels the image Y.
She draws the image of shape Y after a translation of 2 squares right and 5 squares down.
She labels the image Z.
a Write down the translation that takes shape X directly to shape Z.
b Write down the translation that takes shape Z directly back to shape X.

168 17 Position and movement