transformations worksheet pack (part 2) · 1 | p a g e t r a n s f o r m a t i o n s w o r k s h e...

1 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

Transformations – Worksheet Pack (Part 2)

Worksheet 1 - Rotations

1. a) Rotate triangle A by 90°

anticlockwise about O. Label

the image B.

b) Rotate triangle A by 180°

about point P. Label the

image C.

c) Describe the transformation

that maps triangle B to

triangle C.

2. Describe the transformation that

maps:

a) trapezium A onto the red

trapezium.

b) the red trapezium onto

trapezium A.

c) trapezium A onto the green

trapezium.

d) the green trapezium onto the

yellow trapezium.

e) the yellow trapezium onto the

red trapezium.

2 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

3. a) Rotate triangle X by 90° clockwise

about the point (2, 4). Label the

image Y.

b) Rotate triangle X by 90°

anticlockwise about (2, 2). Label

the image Z.

c) Describe the transformation that

maps triangle Y onto triangle Z.

4. Rotate shape A by 90° clockwise about the

point (2, 1). Label the image B.

5. Show the image of these rotations of the

shaded shape :

a) A rotation of 180, centre (0, 1).

Label it A.

b) A rotation of 90 anticlockwise,

centre (0, 0). Label it B.

c) A rotation of 90 clockwise, centre (0, 0). Label it C.

d) A rotation of 180, centre (-1, -1).

Label it D.

-7 -6 -5 -4 -3 -2 -1 O 1 2 3 4 5

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

3 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

6. Describe the single transformation

that maps shape A onto shape B.

7. Describe fully the rotations needed

to map the shaded shape onto each of the lettered shapes.

8. XYZ is the image of PQR. Find the centre and angle of rotation.

8 R

6

4

X

2

P Q

-2 0 2 4 6 8

-2

Y Z

-4

4 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

Worksheet 2 - Enlargements

1. Enlarge shape A by a scale factor of 2, centre of

enlargement (0, 2). Label the image B.

2. Enlarge shape A by a scale factor of 3 about

the point (7, 1). Label the image B.

3. Copy pentagon ABCDE on graph paper.

Enlarge the pentagon by a scale factor

of 2, centre of enlargement O. Label the

image FGHIJ.

5 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

4. Enlarge the triangle ABC by a scale factor of 1

3 about the centre of enlargement

marked on the diagram. Label your image PQR.

5. In the two diagrams below, the smaller shape has been enlarged to obtain the

larger shape.

a) Mark the centre of enlargement on both diagrams with an X.

b) Find the scale factor.

c) Describe the transformations that map the smaller shape onto the larger shape.

6 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

6. a) What is the scale factor of enlargement for shape ABCD and A΄B΄C΄D΄?

b) Describe the transformation.

7. a) What are the scale factors of enlargement for the shapes below?

b) Describe the transformation.

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8. Draw axes for x and y from -8 to 10.

Find the images of the triangle with vertices (5,1), (5,5) and (3,5), under the

following enlargements, with centre (1,1) and scale factor :

a) 2 b) 1

2 c) −1

1

2

8 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

9. Give the coordinates of the centre of enlargement and find the scale factor that

give the following images of the shaded objects.

a) 8 b) 8

6 6

4 4

2 2

0 2 4 6 8 -4 -2 0 2 4 6 8 10

c) 6 d)

4

4

2

2

0 2 4 6 8 10 12

-2 0 2 4 6

-2 -2

e) f)

9 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2

10. a) Draw axes for x and y from −1 to 11.

Draw the image of ABC having

A(9,1), B(11,5) and C(7,7) under the given enlargement with centre

(−1,1) and scale factor 1

2.

b) On axes for x and y from −5 to 6,

draw the triangle ABC having A(−1,5), B(−4,5) and C(−4,3), and

its image under the enlargement with centre (−2,3) and scale factor −2.

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2

(−3

1)

(−2

6)

Worksheet 3 – Mixed Examples

1. a) Translate triangle X by . Label the image B.

b) Rotate triangle X by 90° clockwise about the point (0, 4). Label the image C.

c) Reflect triangle C in the y-axis. Label the image D.

2. a) Translate rectangle Y by the

vector . Label the image C.

b) Complete this statement:

The transformation which maps

shape Y onto shape Z is an

_______________________________

with a scale factor _________

about the point ____________.

11 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t

2

3. Describe the transformation

which maps:

a) shape A onto shape I

b) shape A onto shape E

c) shape J onto shape K

d) shape E onto shape G

e) Shape L onto shape C

4. a) Describe the transformation which maps triangle A onto triangle B.

b) Reflect triangle A in the line y = −x. Label the image X.

c) Enlarge triangle A by a scale factor of 2, centre of enlargement (−4, −4). Label

the image Y.

d) Rotate triangle B by 90°

clockwise about the point (3,

−5). Label the image Z.

L