Higher November 2020 Paper 5 Q7
7 A pattern is made from four congruent right-angled triangles.
Not to scale
The line AC is parallel to the \(x\)-axis.
The point A has coordinates (4, 9) and the point B has coordinates (17, 12).
Work out the coordinates of point C and point D. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| C (24, 9) D (10, 2) | 5 | B4 for three correct ordinates or B3 for two correct ordinates or B2 for one correct ordinate from 24, 10, 2 or for longer length of triangle = 7 soi or B1 for 9 as y-coordinate for C or for shorter length of triangle = 3 soi OR M1 for long = 17 – 4 – 2 × their short oe A1FT for C ((4 + 2 × their short + 2 × their long) , 9) A1FT for D (4 + 2 × their short , 9 – their long) | For part marks, check ordinates first (may be on diagram if answer line blank). If B2 or fewer check alt method and mark to candidates’ advantage B4, B3, B2, B1 May be on diagram For M1 and A1FT, their short and their long needs to be clear in working or on diagram |