Exam-Style Problems

Stage 9 - Q1 - 3 marks

20007

Translate triangle ABC by the vector shown.

\[\begin{pmatrix}3\\-2\end{pmatrix}\]

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

A

B

C

Hint

Add the vector to every vertex.

Stage 9 - Q2 - 3 marks

20008

Reflect triangle ABC in \(x=1\).

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

\(x=1\)

Object

A

B

C

Hint

Keep each vertex at the same perpendicular distance on the opposite side.

Stage 9 - Q3 - 3 marks

20009

Reflect triangle ABC in \(y=1\).

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

\(y=1\)

Object

A

B

C

Hint

Keep each vertex at the same perpendicular distance on the opposite side.

Stage 9 - Q4 - 3 marks

20010

Rotate ABC 90° anticlockwise about \((0,-1)\).

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

A

B

C

K

Hint

Turn each displacement from the centre by a quarter turn anticlockwise.

Stage 9 - Q5 - 3 marks

20011

Describe fully the single transformation from ABC to its image.

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

Image

A

B

C

A'

B'

C'

Hint

Compare corresponding vertices, not just one side.

Stage 9 - Q6 - 3 marks

20012

Describe fully the transformation from ABC to its image.

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

Image

A

B

C

A'

B'

C'

Hint

Find the midpoint of two corresponding point pairs.

Stage 9 - Q7 - 3 marks

20013

Reflect triangle ABC in \(x=0\).

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

\(x=0\)

Object

A

B

C

Hint

Keep each vertex at the same perpendicular distance on the opposite side.

Stage 9 - Q8 - 3 marks

20014

Rotate ABC 90° anticlockwise about \((-1,1)\).

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

A

B

C

K

Hint

Turn each displacement from the centre by a quarter turn anticlockwise.

Stage 9 - Q9 - 3 marks

20015

Describe fully the transformation from ABC to its image.

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Object

Image

A

B

C

A'

B'

C'

Hint

Find the midpoint of two corresponding point pairs.

Stage 9 - Q10 - 5 marks

20016

Treat the squares as unlabelled shapes. Find two different single transformations taking the right square to the left square. Explain why both work.

x

y

-5

-4

-3

-2

-1

1

2

3

4

5

0

Right

Left

A

B

C

D

A'

B'

C'

D'

Hint

Use the symmetry of the square; compare sets of vertices.