In give figur `l abs() m` and M is the mid-point of a line segment AB – InterviewSolution

InterviewSolution

1.	In give figur `l abs() m` and M is the mid-point of a line segment AB .Show that M is also the mid- point of any line segment CD,having its end points on l and m,respectively.
Answer» Given in the figure,` l abs()` m and mid -Point of a line segment AB i.e AM =BM `Proof brecause " "l abs () m " [given ]` `" "angleBAC=angleABD " " ["altermate interior angles" ]` `" "angleAMC = angleBMD " " ["vertically opposite angles" ]` `In Delta AMC and Delta BMD " " angleBAC=angleABD " " ["Proved above "]` `AM=BM " "["given"]` `and " " angleAMC =angleBMD " "["proved above "]` `because " " Delta AMC cong Delta BMD " ["by ASA congruence rule"]` `rArr " MC=MD " " [" by CPCT "]`

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