Transformations

Reflect the trapezium in the mi rror line.

The diagram shows rectangle A and rectangle B. Rectangle A has two labelled vertices at the points (2, 1) and (5, 9).

Rectangle A is rotated 90° anticlockwise around the centre (5, 9) to form rectangle B.

Find the coordinates of the vertex marked P.

Enlarge the shaded shape with scale factor 3 and centre of enlargement at point P.

Triangle T is drawn on a coordinate grid.

Translate triangle T by vector -32.

Triangle A and triangle B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle T is drawn on a coordinate grid.

Translate triangle T by vector -32.

Shape L is drawn on the grid.

Enlarge shape L with scale factor - 2 and centre of enlargement at (- 1, 2).

Triangle A is drawn on the grid below.

Enlarge triangle A by scale factor 2 with centre of enlargement (0, 1).

Label the image B.

Complete the description of the single transformation that maps triangle B back to triangle A.

Enlargement by scale factor........ with centre of enlargement........

Triangle A is drawn on the grid below.

Enlarge triangle A with scale factor and centre of enlargement (0, 0).

Reflect the triangle in the mirror line.

Rotate the triangle 90° anticlockwise around the point P.

Describe fully the single transformation that is equivalent to:

• a rotation of 20° anticlockwise about the origin, followed by

• a rotation of 70° clockwise about the origin.

The diagram shows the coordinates of the vertices of a rectangle.

The rectangle is reflected in the line y = 4.

Write down the coordinates of the vertices of the rectangle that are invariant.

Triangle A and triangle B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle T and triangle A are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle T onto triangle A.

Describe fully the single transformation that is equivalent to:

• a rotation of 90° clockwise about centre (0,0), followed by

• a reflection in the y-axis.

You may use the grid above to help you.

Triangle A and triangle B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle T is drawn on a coordinate grid.

Triangle A is translated by to give triangle T.

Draw and label triangle A on the grid.

Triangle T is rotated through 90° anticlockwise about (0, 0) to give triangle B.

Draw and label triangle B on the grid.

Triangle T is reflected in the line y =-1 to give triangle C.

Draw and label triangle C on the grid.

You may use this coordinate grid to help you answer the following question.

Describe fully the single transformation that is equivalent to:

• a rotation of 180° with centre (0, 1), followed by

• a translation of .

Reflect this shape in the mirror line.

Triangle A and triangle B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Shape A and shape B are drawn on the coordinate grid.

Describe fully the single transformation that maps shape A onto shape B.

Reflect shape A in the line x = - 1.

Rectangle A and rectangle B are drawn on the coordinate grid.

Describe fully two different single transformations that map rectangle A onto rectangle B.

Enlarge triangle A with scale factor 1.5 and centre of enlargement (- 8, 0).

Triangle A and triangle B are shown on the coordinate grid below.

Triangle A is mapped onto triangle B using a combination of two transformations:

• a transformation T, followed by

• a reflection in the x-axis.

Describe fully transformation T.

Triangle A and triangle B are drawn on the coordinate grid.

Reflect triangle A in the line x = 0.

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle A and triangle B are drawn on the coordinate grid.

Reflect triangle A in the line x = 0.

Describe fully the single transformation that maps triangle A onto triangle B.

Reflect the triangle in the mirror line.

Rotate the triangle 90° clockwise about the point P.

A pattern is made from four congruent right-angled triangles.

The line AC is parallel to the x-axis. The point A has coordinates (4, 9) and the point B has coordinates (17, 12).

Work out the coordinates of point C and point D.

Triangle T is drawn on a coordinate grid.

Translate triangle T by vector .

Describe fully the single transformation that is equivalent to:

• a reflection in the line y = x, followed by

• a reflection in the x-axis.

You may use the grid above to help you.

Shape G is drawn on the grid.

Rotate shape G by 180° about the point A.

Shape H is drawn on the grid.

Enlarge shape H with scale factor 2 and the centre of enlargement at point B.

You may use this coordinate grid to help you answer the following questions.

Describe fully the single transformation that is equivalent to

a translation of followed by a translation of ,

a reflection in the line y = x followed by a rotation of 90° clockwise around (0, 0).

A triangle has vertices A, B and C.

The triangle is enlarged with scale factor f and centre of enlargement E.

Vertex A maps to (6, 7). Vertex B maps to (2, 9).

Find the coordinates of the centre of enlargement, E.

Find the scale factor, f.

Vertex C maps to the point R. Find the coordinates of R.

Triangles A and B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

On the grid, reflect triangle A in the line x = 0.

Label the image C.

On the grid, translate triangle A by vector .

Label the image D.

Triangle A is drawn on the grid below.

Enlarge triangle A with scale factor 3 from the centre of enlargement P.

Label the image B.

Describe fully the single transformation that maps triangle B onto triangle A.

Triangle A and triangle B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Describe fully the single transformation that is equivalent to:

• a reflection in the line x = 3, followed by

• a translation by .

You may use the grid above to help you.

Triangle A is drawn on the grid below.

Enlarge triangle A with scale factor 2 and centre of enlargement (0, 0).

Triangle A and triangle B are drawn on the coordinate grid.

Draw the image of triangle A after a rotation of 180 ° about (0, 0).

Draw the image of triangle A after a translation by the vector .

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle A and triangle B are drawn on the coordinate grid.

Draw the image of triangle A after a rotation of 180 ° about (0, 0).

Draw the image of triangle A after a translation by the vector .

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle T is drawn on a coordinate grid.

Rotate triangle T through 180º about (0, 0).

Label your image A.

Reflect triangle T in the line x = - 1.

Label your image B.

Two shapes are drawn on the grid below.

Describe fully the single transformation which maps shape P onto shape Q.

Triangles A and B are drawn on a coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle A can also be mapped onto triangle B using a combination of two transformations:

• a transformation T, followed by

• a reflection in the line x = 0.

Describe fully transformation T.

Shape A is drawn on the grid below.

Enlarge shape A with scale factor 3 and centre of enlargement (0, 0).

Here is a coordinate grid.

Draw the image of triangle A after a reflection in the line y =^–1.

Describe fully the single transformation that maps triangle A onto triangle B.

Complete this statement.

A rotation of 180° around (0, 0) has the same effect as an enlargement by

scale factor........ with centre of enlargement (........,........).

Triangle A and triangle B are drawn on the coordinate grid.

Translate triangle A by vector .

Describe fully the single transformation that maps triangle A onto triangle B.

Triangle T is drawn on a coordinate grid.

Translate triangle T using the vector .

Describe fully the single transformation that represents the following.

A rotation with centre (0, 0) of 180° followed by a rotation with centre (0, 0) of 90° clockwise.

A reflection in the x-axis followed by a reflection in the y-axis.