Transformations

The diagram shows triangle A drawn on a grid.

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

Amy reflects triangle A in the line  to get triangle D.
She is then going to reflect triangle D in the -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.

Shape P is reflected in the line  to give shape Q.

Shape Q is reflected in the line  to give shape R.

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

Shape T is reflected in the line  to give shape R.
Shape R is reflected in the line  to give shape S.

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

Triangle  is drawn on a centimetre grid.
 is the point (2, 2).
 is the point (6, 2).
 is the point (5, 5).

Triangle  is an enlargement of triangle  with scale factor  and centre (0, 0).
Work out the area of triangle .

Enlarge the shaded triangle by a scale factor , centre .

Enlarge triangle T, scale factor , centre .

Enlarge shape J using scale factor ^-2 and centre (0, 2).
Label your image K.

Shape S is shown on the grid.

Enlarge shape S with scale factor −2 and centre (0, 0).
Label your image E.

On the grid, draw the image of shape A after an enlargement with scale factor −2, centre (0, 1),

Draw the enlargement of shape Q, centre (0, 0), scale factor -2.

On the grid above, draw the enlargement of triangle A by scale factor -4, with centre (0, 1). Label the image E.

Describe fully the enlargement that maps triangle T onto triangle U.

ABC is a right-angled triangle.

Here is Sarah's method to find the length of .

What mistake has Sarah made in her method?

Roy is going to enlarge triangle  with centre  and scale factor 

He draws triangle .

Explain why Roy's diagram is not correct.

Here is a shape drawn on a grid of squares.

On the grid, rotate shape 180° about the point (–3, 2)
Label the new shape .

Describe fully the single transformation that maps triangle  onto triangle 

Triangle is shown.

When is reflected in a line,and are invariant points.

Circle the equation of the line.

A sketch of a quadrilateral is shown.

is reflected in the line

Circle the vertex that is invariant.

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

Reflect shape P in the line . 

Rotate shape P  anticlockwise about (0, 1).

Rotate triangle A  anticlockwise with centre .

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

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

Translate shape A by the vector 

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

Translate shape P by the vector 

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

On the grid, rotate shape S by  anticlockwise about the origin.

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

On the grid, rotate shape A  about the point (1, 1).

On the grid, enlarge triangle B by scale factor 3, centre (0, 0).

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

Triangles J and L are drawn on the grid below.

What is the scale factor of the enlargement that maps triangle L onto triangle J?

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation 
Find the value of c and the value of .

 is enlarged, scale factor 2, centre (0, 0)

Circle the number of invariant points on the perimeter of the square.

is reflected in the line

Circle the number of invariant points on the perimeter of the square.

 is a quadrilateral.

The quadrilateral is reflected in the line 

Which vertices are invariant?

Circle your answer.

Enlarge shape A by scale factor −2, centre (0, 0)
Label your image B.

Describe fully the single transformation that will map shape B onto shape A.

The triangle  is to be enlarged, using  as the centre, to give the triangle . The line  is the image of the line .

Write down the scale factor of the enlargement.

The triangle  is to be enlarged, using  as the centre, to give the triangle . The line  is the image of the line .

Complete the triangle .

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

Enlarge the shaded shape by scale factor  with centre (−1, −2).

On the grid, enlarge the triangle by scale factor , centre (0, −2).

Enlarge shape P by scale factor  with centre of enlargement (0, 0).
Label your image Q.

On the grid, enlarge the triangle by scale factor  , centre (0, 2).

Enlarge triangle A by scale factor , centre .

Enlarge triangle A by scale factor , centre (−1, −2).
Label your triangle B.

Enlarge shape T with scale factor −1.5, centre (0, 2).

Enlarge the triangle by a scale factor of , centre .