Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape.

What is a transformation?

Changing a shape for another shape

A way of changing the size or position of a shape

Two shapes that are exactly identical to one another

What is the equation of the mirror line between the two shapes?

x = -1

y = -1

y = -1x

What is the name of the transformation that goes from shape PQR to P'Q'R'?

Reflection

Translation

Rotation

What is the name of the transformation that takes shape PQR to P'Q'R'?

Enlargement

What is the name of the transformation that takes shape ABC to A'B'C'?

What is the scale factor of enlargement from triangle A to triangle B?

6

1.5

What is the transformation from Q to Q'?

Enlargement of scale factor 3 from centre of enlargement (–4, –5)

Enlargement scale factor from centre of enlargement (-4,-5)

Enlargement of scale factor 3 from centre of enlargement (-5,-4)

What is the transformation from T to T'?

Rotation 90˚ about (0,0)

Reflection in the line y = -x

Reflection in the line y = x

What is meant by similarity?

Shapes that are exactly identical to one another - side lengths and angles are equal

One shape that is an enlargement of another

Two shapes that look alike

What is meant by congruent shapes?

Shapes that are exactly identical to one another - side lengths and angles are equal.

One shape that is an enlargement of another.

Two shapes that look alike.