Question

8. In the figure if AB = CD, prove that AC = BD

•-----•--------------------------------•-----•
a. b. c. d.​

Answer 1

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...