O-LevelMathematicsCoordinate geometry4024/11 · May/June 2017 · Q225 Marks
The diagram shows a line segment AB joining A (2, 3) and B (5, 4) . [Figure 22.1 - A coordinate grid showing line segment AB with point A at (2,3) and point B at (5,4).]
- (a)Find the coordinates of the midpoint of AB.[1]
- (b)AB is mapped onto CD by the translation [3, -1]. Find the coordinates of C.[1]
- (c)AB is mapped on to FG by a rotation of 90° clockwise with centre (1, 4). Find the coordinates of G.[1]
- (d)Find the equation of AB.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [1] (3½, 3½) or (3.5, 3.5)
- [1] (-1, 4)
- [1] (1, 0)
- [2] y = 1/3 x + 7/3 oe B1 for y = 1/3 x [+ c] or y = mx + 7/3 or -1/3 x + 7/3
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