If ab=cd then prove that ac=bd.
In this figure>>
--------a---------b----------c----------d
-----= line(i m not using brainy app so kindly refer ---- as a line. Sry fr inconvenience )
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Answered by
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given- ab=cd
to prove-ac=bd
proof-ab=cd
therefore,ab+bc=cd+bc(if equals are added to equals then whose are equal)
hence,ac=bd ......proved
to prove-ac=bd
proof-ab=cd
therefore,ab+bc=cd+bc(if equals are added to equals then whose are equal)
hence,ac=bd ......proved
Yashmita:
N ya sorry for that line inconvenience
means
that was acc. to euclids axioms
that's" whole are equal" not "whose are equal"
??
Answered by
1
Concept
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
Given
ab = cd
Find
Proof that ac = bd
Solution
As it is given that ab = cd
Adding bc both sides
ab + bc = cd + bc
Calculating LHS
ab + bc
= ac
Calculating RHS
cd + bc
= bc + cd
= bd
LHS = RHS
ac = bd
Hence Proved
If ab = cd then ac = bd
#SPJ2
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