A,B,C and D are collinear points . if AC=BD, then prove thatAB=CD
Answers
Answered by
4
Step-by-step explanation:
ABCD are collinear so AB+BC+CD=AD,
AC=AB+BC,
AC+CD=AD,AC=AD-CD
BC+CD=BD=AD-AB
AC=BD,given
AD-CD=AD-AB
Hence,AB=CD
Answered by
5
Answer :
Given : AC = BD
To Prove : AB = CD
Solution :
AC = BD …………. (1)
#Refer the attachment for better understanding.
From figure,
AC = AB + BC …………. (2)
&
BD = BC + CD …………. (3)
Substituting for BD and AC from eq. (2) and (3) in eq. (1),
Then we get :
AB + BC = BC + CD
AB = CD
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