O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2010 · Q78 Marks
Solutions to this question by accurate drawing will not be accepted. [Figure showing quadrilateral ABCD with coordinates A(−1, 5), B(–2, 6), C(4, 10)] In the diagram the points A(−1, 5), B(–2, 6), C(4, 10) and D are the vertices of a quadrilateral in which AD is parallel to the x-axis. The perpendicular bisector of BC passes through D. Find the area of the quadrilateral ABCD.
- Solutions to this question by accurate drawing will not be accepted. In the diagram the points A(−1, 5), B(–2, 6), C(4, 10) and D are the vertices of a quadrilateral in which AD is parallel to the x-axis. The perpendicular bisector of BC passes through D. Find the area of the quadrilateral ABCD.[8]
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Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- [B1] Midpoint (1, 8)
- [B1] Gradient BC = 2/3
- [M1] Uses m₁m₂ = −1 and equation of perpendicular bisector
- [A1] y-8=-3/2(x-1) or 3x + 2y = 19
- [M1] Solve with y = 5
- [A1] D (3, 5)
- [M1] Complete method for area
- [A1] 15
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