Page 164 - Mathematics Coursebook

17.1 Refl ecting shapes

) Exercise 17.1

1 Which drawings show a correct reflection of triangle A?

a b c d
A A A A A A A A
A A A A A A A A

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

3 Copy each diagram and reflect the shape in the diagonal mirror line.

a b c d
y y y y
7 7 7 7
6 6 6 6
5 5 5 5
4 4 4 4
3 3 3 3
2 2 2 2

The first one has been started for you. 1 1 1 1
0 0 0 0
x

3
7
0
4 Copy each diagram and reflect the shape in the mirror line with the given equation. 02 13 24 35 46 57 6 x 7 x 0 1 2 3 4 5 6 7 x
6
1
0
1
2
4
5
mirror line x = 3 mirror line y = 4 mirror line x = 4 mirror line y = 3
a y y b y y c y d y y y
7 7 7 7 7 7 7 7
6 6 6 6 6 6 6 6
5 5 5 5 5 5 5 5
4 4 4 4 4 4 4 4
3 3 3 3 3 3 3 3
2 2 2 2 2 2 2 2
1 1 1 1 1 1 1 1
0 0 x x 0 0 x x 0 0 0 0
0 01 12 23 34 45 56 67 7 0 01 12 23 34 45 56 67 7 0 1 2 3 4 5 6 7 x 0 1 02 13 24 35 46 57 x 6 7 x 0 1 2 3 4 5 6 7 x

5 Copy each diagram and draw in the correct mirror line for each reflection.
y y y y
7 a 7 b 7 7 c
6 6 6 6 y
5 5 5 5 8
4 4 4 4 7 A
3 3 3 3 B
6
2 2 2 2
5
1 1 1 1
4
0 0 0 0 F G
x
x
x
x
6 The diagram shows eight triangles, labelled A to H. 3 C
56
45
7
67
34
01
0
23
12
0
56
45
7
67
12
01
34
23
Write down the equation of the mirror line that reflects: 2 D E

a triangle A to triangle B b triangle A to triangle C 1 H
c triangle B to triangle E d triangle D to triangle E 0 0 1 2 3 4 5 6 7 8 x
e triangle F to triangle G f triangle D to triangle H.
17 Position and movement 163