Transformations (Cambridge (CIE) O Level Maths): Exam Questions

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

Translate trapezium T by the vector  

Label the new trapezium B.

Rotate triangle A  clockwise, centre .

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

On the grid, reflect shape A in the line .

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

The diagram shows triangle  and triangle 

Describe fully the single transformation that maps triangle  onto triangle .

Describe fully the single transformation that maps triangle onto triangle .

On the grid, draw the image of triangle after a rotation through 90° clockwise about the point (7, 3).

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

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

Draw the image of triangle A after an enlargement by scale factor , centre .

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

Triangle A is rotated  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.

The grid shows triangle  and line .

i) Triangle is mapped onto triangle  by a reflection in line .
Draw and label triangle on the grid. 

[2]

ii) Triangle is mapped onto triangle  by a clockwise rotation of 90°, centre (0, 3).
Draw and label triangle on the grid.

[2]

iii) Triangle is mapped onto triangle by a reflection in line .
Describe the single transformation that maps triangle  onto triangle .

[3]

The line  is parallel to line  and passes through the point (0, 5).

Find the equation of line .

The line  is perpendicular to line  and passes through the origin (0, 0).

Find the equation of line .