Question 1 [2 marks]
Enlargement, centre (1, 3), scale factor -1
Mark scheme
- A [2] — cao
Accept algebraically equivalent correct forms.
How would you rate this worksheet overall (questions, layout, and answers together)? Tap the stars from the left up to the score you mean, then press Confirm rating. You can change your mind any time.
Enlargement, centre (1, 3), scale factor -1
Accept algebraically equivalent correct forms.
Vertices of image: (2, 2), (2, 6), (6, 6), (6, 2)
Accept algebraically equivalent correct forms.
Vertices of image: (4, 6), (2, 6), (2, 4), (4, 4)
Accept algebraically equivalent correct forms.
Vertices of image: (0.5, 0.5), (2.5, 0.5), (2.5, 1.5), (1.5, 1.5), (1.5, 2.5), (0.5, 2.5)
Accept algebraically equivalent correct forms.
10 cm
Accept algebraically equivalent correct forms.
Vertices of image: (3, 3), (9, 3), (6, 9)
Accept algebraically equivalent correct forms.
10 cm
Accept algebraically equivalent correct forms.
Scale factor -2, centre (5, 3.3333)
Accept algebraically equivalent correct forms.
Vertices of image: (10, 5), (-2, 5), (1, -1), (7, -1)
Accept algebraically equivalent correct forms.
Centre (-0.3333, -0.3333), scale factor -2
Accept algebraically equivalent correct forms.
Image point (-1, -4)
Accept algebraically equivalent correct forms.
216 cm²
Accept algebraically equivalent correct forms.
Image endpoints (0.5, 0.5), (2, 0.5)
Accept algebraically equivalent correct forms.
18 cm
Accept algebraically equivalent correct forms.
Enlargement, scale factor −1, centre at the point of inversion (from diagram).
Accept algebraically equivalent correct forms.
Vertices of image: (-2, -4), (-6, -4), (-4, -8)
Accept algebraically equivalent correct forms.
k = 1.5 or k = -1.5 (magnitude; sign depends on orientation)
Accept algebraically equivalent correct forms.
Horizontal stretch scale factor 2 from the y-axis (x-direction), not a true enlargement from a single centre.
Accept algebraically equivalent correct forms.
Centre (6, 3.6667)
Accept algebraically equivalent correct forms.
Vertices of image: (2, 2), (0, 2), (-1, 1), (0, 0), (2, 0), (3, 1)
Accept algebraically equivalent correct forms.
Centre (2.3333, 2.3333)
Accept algebraically equivalent correct forms.
Enlargement, scale factor −12 (centre from diagram).
Accept algebraically equivalent correct forms.
Vertices of image: (7, 4), (1, 4), (-1, 0), (5, 0)
Accept algebraically equivalent correct forms.
8 cm³
Accept algebraically equivalent correct forms.
Vertices of image: (6, 6), (4, 6), (4, 4), (6, 4)
Accept algebraically equivalent correct forms.
Scale factor -2 (area ratio 4 = k²)
Accept algebraically equivalent correct forms.
The image is similar to the object; area(object) : area(image) = 1 : k²
Accept algebraically equivalent correct forms.
Centre of enlargement (p, q)
Accept algebraically equivalent correct forms.
Enlargement scale factor 2 from centre (2, 0) (maps y = x² to y = (2x − 4)² = 4(x − 2)²).
Accept algebraically equivalent correct forms.
Equivalent enlargement: scale factor -1, centre (3, 3)
Accept algebraically equivalent correct forms.