Stage 9 - Q1 - 4 marks
Enlarge the shown shape by factor 3, centre \(K=(0,0)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q2 - 4 marks
Enlarge the shown shape by factor 2, centre \(K=(-1,0)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q3 - 4 marks
Enlarge the shown shape by factor 4, centre \(K=(-2,-2)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q4 - 4 marks
Enlarge the shown shape by factor 4, centre \(K=(1,1)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q5 - 3 marks
An enlargement has factor 2, centre \((-1,-1)\). The image of P is \((-5,3)\). Find the original P.
Hint
Reverse the enlargement using displacements, not absolute coordinates.
Stage 9 - Q6 - 4 marks
Enlarge the shown shape by factor 4, centre \(K=(1,1)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q7 - 4 marks
Enlarge the shown shape by factor 3, centre \(K=(0,1)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q8 - 4 marks
Enlarge the shown shape by factor 2, centre \(K=(-2,-1)\). Give all image vertices.
Hint
Follow the ray from K through each vertex and multiply its distance from K.
Stage 9 - Q9 - 3 marks
An enlargement has factor 4, centre \((1,0)\). The image of P is \((-3,-8)\). Find the original P.
Hint
Reverse the enlargement using displacements, not absolute coordinates.
Stage 9 - Q10 - 5 marks
Enlarge rectangle ABCD with vertices \((-2,1)\),\((4,1)\),\((4,5)\),\((-2,5)\) by factor 3 about \(K=(1,3)\). Find all image vertices and explain why the centre stays inside.
Hint
Work with displacements from the centre, including negative components.