Hint
Use the stated units and precision. Exchange coordinates before translating.
Worked solution
(a)
Exchange coordinates before translating.
R gives (2,9); adding the translation gives \(\displaystyle x=4\).
Answer: \(4\)
(b)
Apply the vertical translation to the reflected point.
After reflection, the y-coordinate is 9; adding 6 gives 15.
Answer: \(15\)
(c)
Translate first and then exchange the whole resulting coordinate pair.
T gives (11,8); reflection exchanges them, giving \(\displaystyle x=8\).
Answer: \(8\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Exchange coordinates before translating.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Apply the vertical translation to the reflected point.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Translate first and then exchange the whole resulting coordinate pair.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.