Q19 of 53 Page 122

The line segment AB is divided into five congruent parts at P, Q, R and S suchthat A-P-Q-R-S-B. If point Q(12, 14) and
S(4, 18) are given find thecoordinates of A, P, R,B.

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


Coordinates of R as QR:RS ∷ 1:1


X =


Y = = 16


As RS:SB∷1:1


Coordinates of B



X = 0


And



Y = 20


As PQ:QR∷1:1


Coordinates of P



x = 16


and



y = 12


As AP:PQ∷1:1


Coodinates of A



x = 20


and



y = 10


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