Transformation from A to B | Transformation from B to A |
Translation by vector | Translation by vector |
Reflection in a given line | Reflection in the same line |
Rotation by Î¸Â° in a direction about the centre | Rotation by Î¸Â° in the opposite direction about the centre |
Enlargement of scale factor about the centre | Enlargement of scale factor about the centre |
(a)
Start with a rotation.
Using tracing paper, draw over the original object then place your pencil on the origin and rotate the tracing paper by 180 ^{o}.
Mark the position of the rotated image onto the coordinate grid.
Label the rotated image F'.
(b)
Now complete the reflection.
The line
is the
- axis.
Measure the perpendicular distance (the vertical distance) between each vertex on the original object and the
-axis, then measure the same distance on the other side of the mirror line and mark on the corresponding vertex on the reflected image.
Repeat this for all of the vertices and join them together to create the reflected image.
Label the reflected image F''.
(c)
You should now be able to see how to get from F to F'' directly.
The object and image are reflections of each other in the -axis.
The single transformation from F to F'' is a reflection in the -axis
Stating the -axis or the equation are both acceptable