In this section we look at line symmetry and reflections of simple shapes, in horizontal, vertical and sloping lines. In a reflection, a point will move to a new position that will be the same distance from the mirror line, but on the other side. These distances will always be measured at right angles to the mirror line.

Draw in the lines of symmetry for each of the following shapes:

(a)

4 lines of symmetry

(b)

1 line of symmetry

Draw the reflection of each of the following shapes in the given mirror line.

A triangle has corners at the points with coordinates (4, 3), (5, 6) and (3, 4).

Draw the reflection of the triangle in the:

(a) | x-axis | (b) | y-axis | |
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(c) | line x = 6 | (d) | line y = 7 |

An 'L' shape has corners at the points with coordinates (1, 4), (1, 7), (2, 7), (2, 5), (3, 5) and (3, 4).

Draw the reflection of the shape in the lines:

(a) | y = x | (b) | y = –x |
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