Transformations (Edexcel IGCSE Maths A: Higher)

Rotate triangle A  clockwise, centre .

Enlarge triangle B by scale factor 3, centre (1, 2).

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.

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 .

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

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 .

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.

Triangle A is rotated 90° clockwise about the point (0, 1) to give triangle B. Triangle B is translated by the vector  to give triangle C. Describe fully the single transformation that maps triangle A onto triangle C.

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