X is the transformed image of A(3; 5). For each question below, state the coordinates of A' and complete...

1. X is the transformed image of A(3; 5). For each question below, state the coordinates of A' and complete the rule in the form (x, y) → (□, □) if:
a) a is reflected in the line x = 0
b) a is translated 2 units to the right and 5 units down
c) a is rotated anticlockwise through an angle of 90° about the origin
d) a is enlarged by a factor of 5
e) a is reflected in the line y = x
f) a is rotated clockwise through an angle of 90° about the origin
g) a is reflected in the x-axis
h) a is rotated through an angle of 180° about the origin.
2. A(-1; 2), B(5; 3) and C(-2; -3) are the coordinates of points A, B and C.
Plot A, B and C and join them up.
a) Plot A, B and C and join them up.
b) A'B'C' is the image of △ABC after an enlargement by a factor of 3.
i) Sketch △A'B'C' and show the coordinates on the sketch.
ii) Draw a rectangle around △A'B'C' and determine the area of △A'B'C'.
iii) Draw a rectangle around △ABC and determine the area of △ABC.
iv) Show, by calculation, that the ratio of the areas is 1 : 9.
3. If the area of △PQT is 21 units² and the area of △P'Q'T' is 525 units², state the factor of this enlargement.
4. If the area of △MNL is 6 units² and the area of △M'N'L' is 54 units², determine the perimeter of △M'N'L' if △MNL has a perimeter of 12 units.
5. If △VWZ has an area of 960 units² and △V'W'Z' has an area of 60 units², determine the perimeter of △V'W'Z' if △VWZ has a perimeter of 40 units.