Effects of Transformations
Maths: Edexcel IGCSE Higher, topic 5.2.5
Effects of Transformations
Angles
- Angles are not changed in any transformations.
Lengths
- Rotations, reflections and translations do not change lengths.
- Enlargement does change lengths.
Multiple transformations
- Transformations can be done one after the other.
- When transformations are combined like this, it's very important to do them in the order they are listed.
- Here is a reflection in the y-axis, then a translation down.
Identifying Transformations
Transformations can be identified by following a few key rules.
Rotation
- If a shape has been rotated, it will have a different orientation.
- A different orientation means it will be a different way around.
Relfection
- If a shape has been reflected, it will be a mirror image of itself.
- This means the new shape will not be able to fit over the old shape (unless the original shape was symmetrical).
Translation
- If a shape has been translated, it will have the same orientation and size but a different position.
Enlargement
- If a shape has been enlarged, it will be larger or smaller than the original shape.
- If the scale factor is positive, it will have have the same orientation as the original shape.
- If the scale factor is negative, the new shape will have been rotated 180°.
Test yourself on Effects of Transformations
What type of transformation is this?
What type of transformation is this?
What type of transformation is this?
What type of transformation is this?
Which of these are true statements about reflections?