Stage 9 - Q1 - 3 marks
A segment of length 4 becomes 12. The enlargement centre is \((0,-1)\). Describe the enlargement and state what happens to angles.
Hint
Angle sizes are not multiplied by the length factor.
Stage 9 - Q2 - 3 marks
Describe fully the enlargement from ABC to its image.
Hint
A complete enlargement description needs both factor and centre.
Stage 9 - Q3 - 4 marks
\(P=(-2,-2)\) maps to \(P\prime=(-5,-11)\) with scale factor 4. Find the centre K.
Hint
Rearrange \(P\prime=K+k(P-K)\).
Stage 9 - Q4 - 3 marks
Describe fully the enlargement from ABC to its image.
Hint
A complete enlargement description needs both factor and centre.
Stage 9 - Q5 - 3 marks
A segment of length 2 becomes 4. The enlargement centre is \((-2,-2)\). Describe the enlargement and state what happens to angles.
Hint
Angle sizes are not multiplied by the length factor.
Stage 9 - Q6 - 3 marks
A pupil says a centre inside a shape cannot be found using corresponding-vertex rays. Use these squares to test the claim.
Hint
Extend each corresponding-vertex line through the inner square.
Stage 9 - Q7 - 4 marks
\(P=(1,-1)\) maps to \(P\prime=(-1,-1)\) with scale factor 3. Find the centre K.
Hint
Rearrange \(P\prime=K+k(P-K)\).
Stage 9 - Q8 - 3 marks
A pupil says a centre inside a shape cannot be found using corresponding-vertex rays. Use these squares to test the claim.
Hint
Extend each corresponding-vertex line through the inner square.
Stage 9 - Q9 - 3 marks
Describe fully the enlargement from ABC to its image.
Hint
A complete enlargement description needs both factor and centre.
Stage 9 - Q10 - 5 marks
A\((1,1)\), B\((3,1)\), C\((1,3)\) are claimed to enlarge to A′\((3,3)\), B′\((7,3)\), C′\((3,8)\). Test whether one enlargement can map all three corresponding vertices.
Hint
Use two pairs to find the candidate transformation, then test the third.