if points A,B,C are collinear points C,D,E are collinear, then the points A,B,C,D,E are collinear
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Step-by-step explanation:
Given
AB=BC=CD=DE
(a) AD=AB+BC+CD
(b) AD=AC+CD
(c) Midpoint of AE is C [∵AB+BC=CD+DE ]
(d) Midpoint of CE is D [∵CD=DE ]
(e) AE=4×AB [∵AB+BC+CD+DE=4×AB ]
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