8. In the figure if AB = CD, prove that AC = BD
•-----•--------------------------------•-----•
a. b. c. d.
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Answer:
AC = BD
AC = AB + BC
BD = BC + CD
(Given) ..1
(Point B lines between A and C) ..2
(Point C lines between B and D) ..3
Substituting for AC and BD from (2) and (3) in (1), we get
AB + BC = BC + CD
AB = CD
Hence proved...
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