Transformations

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

Enlarge the triangle by scale factor centre (–1, –3)

On the grid, reflect the shaded shape in the mirror line.

Write down the equation of the mirror line.

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

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

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

Triangle A is translated by the vector 64 to give triangle B. Triangle B is rotated 90° clockwise about the point (1, 2) to give triangle C. Describe fully the single transformation that maps triangle A onto triangle C.

On the grid above, rotate the shaded shape 180 about (0, 0)

Mike was asked to ‘Reflect shape A in the line with equation x = 3’ Mike’s answer is shown on the grid. His answer is wrong.

Explain why.

The diagram shows triangle T drawn on a grid.

Enlarge triangle T by scale factor –2 with centre of enlargement (0, 0)

On the grid, draw an enlargement of the triangle with a scale factor of 3

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

Enlarge triangle P by scale factor –1 with centre of enlargement (–2, –1) Label your image Q. Triangle P is transformed by a combined transformation of a rotation of 90° anticlockwise about the origin followed by a translation to give triangle R. Exactly one vertex of triangle P is invariant under the combined transformation.

Find one possible column vector for the translation.

Shape A is reflected in a mirror line to give shape B.

On the grid, draw the mirror line.

Alex is asked to reflect shape P in the x-axis. Here is the diagram Alex draws.

Explain the mistake Alex has made.

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

On the grid, enlarge triangle T by scale factor –2 with centre of enlargement (–2, –2)

Here are two triangles on a grid.

Triangle B is an enlargement of triangle A.

Write down the scale factor of the enlargement.

On the grid, mark with a cross () the centre of enlargement. Here are two parallelograms on a coordinate grid.

Parallelogram D is a reflection of parallelogram C.

On the grid, draw the mirror line.

Write down an equation of this mirror line.

11

16

2

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

Rotate the shaded shape 90° anticlockwise about (0,0)

Shape A is reflected in the line with equation x = 2 to give shape B. Shape B is reflected in the line with equation x = 6 to give shape C. Describe fully the single transformation that maps shape A onto shape C.

On the grid, reflect the shaded triangle in the mirror line.

Describe fully the single transformation that maps shape S onto shape T.

Describe fully the single transformation that maps shape S onto shape T.

Enlarge the shaded shape by scale factor −2 with centre of enlargement (0, 0)

Reflect shape A in the mirror line.

Here is a diagram showing triangle ABC and triangle ADE.

Describe fully the single transformation that maps triangle ABC onto triangle ADE.

Reflect the shaded shape in the mirror line.

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

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

The diagram shows a triangle P on a grid.

Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 52 to give triangle R.

Describe fully the single transformation that maps triangle P onto triangle R.

Under the transformation that maps triangle P onto triangle R, the point A is invariant.

Write down the coordinates of point A.

followed by a rotation.

Under the combined transformation, two vertices of the square ABCD are invariant.

Describe fully one possible rotation.

Reflect shape P in the line y = 3

Enlarge triangle A by scale factor 2.5 with centre (0, 1)

Shape A can be transformed to shape B by a reflection in the x-axis followed by a

Find the value of c and the value of d.

Shape A can be transformed to shape B by a reflection in the x-axis followed by a

Find the value of c and the value of d.

ABC is a right-angled triangle.

Here is Sarah’s method to find the length of BC.

= 100 BC = 10

What mistake has Sarah made in her method?

He draws triangle XYZ.

Explain why Roy’s diagram is not correct.

Rotate shape A 180° about (1, 0)

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

Triangle P is reflected in the line y = − x to give triangle Q. Triangle Q is reflected in the line x = − 1 to give triangle R.

Describe fully the single transformation that maps triangle R to triangle P.

The diagram shows five shapes on a centimetre grid.

Write down the name of shape E.

Two of the shapes are congruent.

Write down the letters of these two shapes.

On the grid, reflect the shaded shape in the mirror line.

Triangle A is transformed by the combined transformation of a rotation of 180° about the

One point on triangle A is invariant under the combined transformation.

Find the coordinates of this point.

Shape T is reflected in the line x = −1 to give shape R. Shape R is reflected in the line y = −2 to give shape S.

Describe the single transformation that will map shape T to shape S.

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

Enlarge shape A by scale factor centre (0, 1)

Rotate trapezium T 180° about the origin. Label the new trapezium A.

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

The diagram shows triangle A drawn on a grid.

Kyle reflects triangle A in the x-axis to get triangle B. He then reflects triangle B in the line y = x to get triangle C.

Amy reflects triangle A in the line y = x to get triangle D. She is then going to reflect triangle D in the x-axis to get triangle E.

Amy says that triangle E should be in the same position as triangle C.

Is Amy correct? You must show how you get your answer.