Transformations (Edexcel GCSE Maths: Foundation): Exam Questions

Draw the enlargement of the triangle by scale factor 3, centre .

Describe fully the single transformation that maps

i) triangle onto triangle ,

[3]

ii) triangle onto triangle ,

[2]

iii) triangle onto triangle .

[3]

On the grid, draw the image of triangle after a reflection in the line .

The grid shows a point and four quadrilaterals, and .

Describe fully the single transformation that maps

i) shape onto shape ,

[2]

ii) shape onto shape ,

[2]

iii) shape onto shape .

[3]

i) Write down the coordinates of the point .

[1]

ii) On the grid, draw the image of shape after an enlargement by scale factor 3, centre .

[2]

Describe fully the single transformation that maps

i) triangle onto triangle ,

[3]

ii) triangle onto triangle ,

[2]

iii) triangle onto triangle .

[3]

On the grid, draw the image of triangle after a reflection in the line .

Describe fully the single transformation that maps shape onto shape .

The diagram shows four shapes and .

Describe fully the single transformation that maps shape onto

i) shape ,

[3]

ii) shape ,

[2]

iii) shape .

[3]

On the grid, draw the image of shape A after a translation by the vector 

The diagram shows two triangles, and , and two points and .

i) Describe fully the single transformation that maps triangle onto triangle.

[3]

ii) On the grid, draw the image of triangle A after a translation by the vector

[2]

iii) On the grid, draw the image of triangle after a rotation through 90° clockwise about (0, 0).

[2]

Describe fully the single transformation that maps triangleonto triangle .

Describe fully the single transformation that maps triangle onto triangle .

On the grid, draw the image of triangle after a translation by the vector 

On the grid, draw the image of triangle after a rotation of 180° about (2, 1).

Describe fully the single transformation that maps

i) shape onto shape ,

[3]

ii) shape  onto shape ,

[2]

iii) shape  onto shape .

[3]

On the grid, draw the image of shape  after a reflection in the line .

On the grid, draw an enlargement of the trapezium with a scale factor of 2.

Determine the scale factor of enlargement from shape to shape .

Translate shape by the vector .

Label the position of the image .

Describe fully the single transformation that maps

i) triangle onto triangle ,

[3]

ii) triangle onto triangle ,

[2]

iii) triangle onto triangle .

On the grid, enlarge triangle by scale factor 0.5, centre (4, 0).

On the grid, draw the image of

ia) triangle after a translation by the vector ,

[2]

ib) triangle after a reflection in the line = 3.

[2]

ii) Describe fully the single transformation that maps triangle onto triangle .

[3]

iii) Describe fully the single transformation that maps triangle onto triangle .

[3]

On the grid, draw the image of

ia) shape after an enlargement with scale factor , centre ( 3 , -5 )

[2]

ib) shape after a reflection in the line .

[2]

ii) Describe fully the single transformation that maps triangle onto triangle .

[3]

Triangles and are shown on the grid.

Describe fully the single transformation that maps

i) triangle onto triangle ,

[3]

ii) triangle onto triangle .

[3]

On the grid,

i) translate triangle by the vector ,

[2]

ii) reflect triangle in the line = 1.

[2]

Describe fully the single transformation that maps shape onto shape .

Describe fully the single transformation that maps shape onto shape .

On the grid, draw the image of shape after a translation by the vector .

On the grid, draw the image of shape after a reflection in the line .

The diagram shows four shapes and and a point on a 1cm² grid.

Find

i) the perimeter of shape ,

............................................... cm [1]

ii) the area of shape .

..............................................cm² [1]

i) Write down the co-ordinates of point .

[1]

ii) Find the co-ordinates of the image of point when

a) is reflected in the -axis,

[1]

b) is reflected in the line .

[2]

iii) Find the vector that translates point  to the point ( 49, -12).

[2]

Describe fully the single transformation that maps

i) shape onto shape ,

[3]

ii) shape onto shape .

[3]

Describe fully the single transformation that maps the shaded quadrilateral onto

i) quadrilateral ,

[2]

ii) quadrilateral .

[3]

On the grid,

i) reflect the shaded quadrilateral in the line 

[2]

ii) enlarge the shaded quadrilateral by scale factor , centre 

[2]