Q1 of 12 Page 19

In the adjoining figure, line k || line l || line m Their transversals, line c and line d, cut them at points X, Y, Z and P, Q, R respectively. If l(XY) = 5, l(XY) = 3, l(PQ) = 5.5, find l(QR).

Given figure consists of 3 parallel lines (lines k, l, m) and 2 transversals (lines c, d)


So, 5-line segments are formed. They are, XY, YZ, PQ, QR, XP, YQ, and ZR


Length of segment XY l(XY) = 5cm


Length of segment YZ l(YZ) = 3cm


Length of segment PQ l(PQ) = 5.5cm


We have to find l(QR)


According to the property of 3 parallel lines and their transversal



∴


l(PQ) = 3.3


∴ length of segment l(PQ) is 3.3cm


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