Transformations (Cambridge (CIE) IGCSE Maths: Extended)

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

On the grid, reflect shape T in the line .

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

i) Reflect triangle T in the line .

 [2]

ii) Rotate triangle T  through 90° anticlockwise about (6, 0).

 [2]

On the grid, draw the image of

i) triangle A after a rotation of 90° anticlockwise about (0, 0),

 [2]

ii) triangle A after a translation by the vector .  

[2]

Draw the image of triangle A after a reflection in the line 

Draw the image of triangle A after a translation by the vector 

i) Draw the reflection of triangle  in the line . 

[2]

ii) Draw the rotation of triangle  aboutthrough 90° clockwise. 

[2]

Describe fully the single transformation that maps triangle onto triangle .

On the grid, draw the image of

i) shape A after a translation by the vector ,  

[2]

ii) shape A after a rotation through 180° about (0, 0),  

[2]

Reflect shape T in the line

On the grid, draw the image of

i) triangle after a translation by the vector .   

[2]

ii) triangle after a reflection in the line .  

[2]

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

Draw the reflection of flag A in the line .

i) Translate triangle T by the vector .

[2]

ii) Rotate triangle T through 90° anticlockwise about (0, 0).

[2]

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

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

Describe fully the single transformation that maps triangle onto triangle.

Describe fully the single transformation that maps

i) shape A onto shape B,

[3]

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

[3]

A line joins  to . 
The line  is transformed to the line .

Find the co-ordinates of and the co-ordinates of after is transformed by

i) a rotation through 90° anticlockwise about the origin,

........................ , ........................     

      ........................ , ........................ [2]

ii) a reflection in the line ,

........................ , ........................     

      ........................ , ........................ [2]

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

On the grid, draw the image of shape A after an enlargement, scale factor 2, centre (-7, 0).

i)   Translate shape T by the vector  Label the image A.

 [2]

ii)   Rotate shape T about the point  through 180°. Label the image B.

 [2]

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

[3]

Describe fully the single transformation that maps triangle onto triangle .   

Describe fully the single transformation that maps

i) triangle A onto triangle B,  

[2]

ii) triangle A onto triangle C.  

[3]

Describe fully the single transformation that maps flag A onto flag D. 

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

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

On the grid, draw the image of triangle A after an enlargement by scale factor 2, centre (7, 3).

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

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

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

Describe fully the single transformation that maps triangle onto triangle .

Enlarge triangle T  by a scale factor of -2, centre (1, 0).

Describe fully the single transformation that maps

i) triangle A onto triangle B,  

[3]

ii) triangle A onto triangle C.  

[3]

A line joins  to . 
The line  is transformed to the line .

Describe fully the single transformation that maps the line onto the line where is the point and is the point .

On the grid, draw the image of triangle A after an enlargement, scale factor , centre ,

Describe fully the single transformation that maps flag A onto flag C, 

Enlarge triangle T by scale factor with centre (0, 0).

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

Describe fully the single transformation that maps triangle T onto triangle U.

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

Describe fully the single transformation that maps triangle onto triangle .