O-LevelAdditional MathematicsStraight line graphs4037/21 · Oct/Nov 2011 · Q66 Marks
Solutions to this question by accurate drawing will not be accepted. The points A(1, 4), B(3, 8), C(13, 13) and D are the vertices of a trapezium in which AB is parallel to DC and angle BAD is 90°. Find the coordinates of D.
- Solutions to this question by accurate drawing will not be accepted. The points A(1, 4), B(3, 8), C(13, 13) and D are the vertices of a trapezium in which AB is parallel to DC and angle BAD is 90°. Find the coordinates of D.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [1] m_AB = 2
- [1] Uses m₁m₂ = -1 and point A
- [1] AD: y - 4 = -(1/2)(x - 1) or x + 2y = 9 or y = -(1/2)x + 9/2
- [1] CD: y - 13 = 2(x - 13) or y = 2x - 13
- [1] Solve equation AD with equation CD
- [1] (7,1)
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