Page 163 - Mathematics Coursebook

17.1 Reflecting shapes

17.1 Reflecting shapes
mirror line same distance
When you draw the re%ection of a shape, you use a mirror line.
Each point of the shape moves across the mirror line to the point
that is the same distance away from the mirror line on the other
side.
!e mirror line is a line of symmetry for the whole diagram.
object image

Worked example 17.1

a Draw a reflection of this shape in the b Draw a reflection of this shape in the line
mirror line. with equation x = 4.
y
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 x

a object Take one corner of the shape at a time and plot its
reflection in the mirror line. Remember that each
point on the image must be the same distance
away from the mirror line as its corresponding
point on the object. Use a ruler to join the reflected
points with straight lines, to produce the image.

image

y
b 8 First draw the mirror line x = 4 on the grid. Take
7
each corner of the shape, one at a time, and plot
6 its reflection in the mirror line. Use a ruler to join
5 image
the reflected points with straight lines, to produce
4 the image.
object
3
2
1
0 x
0 1 2 3 4 5 6 7 8 9

162 17 Position and movement