What type of a quadrilateral do the points A (2, –2), B (7, 3), C (11, –1) and D (6, –6) taken in that order, form?
Name the type of triangle formed by the points A (–5, 6), B (–4, –2) and C (7, 5).
ABCD is a parallelogram with vertices A (x1, y1), B (x2, y2) and C (x3, y3). Find the coordinates of the fourth vertex D in terms of x1, x2, x3, y1, y2 and y3.
Find the area of the triangle ABC with A (1, –4) and the mid-points of sides through A being (2, – 1) and (0, – 1).
If the mid-point of the line segment joining the points A (3, 4) and B (k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.
State whether the following statement are true or false. Justify your answer.
The points A (–1, –2), B (4, 3), C (2, 5) and D (–3, 0) in that order form a rectangle.
State whether the following statement are true or false. Justify your answer.
The point P (–2, 4) lies on a circle of radius 6 and centre C (3, 5).
State whether the following statement are true or false. Justify your answer.
Points A (–6, 10), B (–4, 6) and C (3, –8) are collinear such that AB = 2/9 AC.
State whether the following statement are true or false. Justify your answer.
Point P (5, –3) is one of the two points of trisection of the line segment joining the points A (7, – 2) and B (1, – 5).
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