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Question
The line segment AB is divided into five congruent parts at P, Q, R and S such that A–P–Q–R–S–B. If point Q(12, 14) and S(4, 18) are given find the coordinates of A, P, R, B.
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Solution
Points P, Q, R and S divide seg AB in five congruent parts.
Let A x1, y1), B(x2, y2), P(x3, y3) and R(x4, y4) be the given points.
Point R is the midpoint of segment QS.
By midpoint formula,
x co-ordinate of R = `(12 + 4)/2 = 16/2` = 8
y co-ordinate of R = `(14 + 18)/2 = 32/2` = 16
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