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Mathematics
Ben Welch
25 September, 09:22
Which is a correct two column proof. Given <4 and
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Hayley Wolf
25 September, 12:56
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The initial statement is: QS = SU (1)
QR = TU (2)
We have to probe that: RS = ST
Take the expression (1) : QS = SU
We multiply both sides by R (QS) R = (SU) R
But (QS) R = S (QR) Then: S (QR) = (SU) R (3)
From the expression (2) : QR = TU. Then, substituting it in to expression (3):
S (TU) = (SU) R (4)
But S (TU) = (ST) U and (SU) R = (RS) U
Then, the expression (4) can be re-written as:
(ST) U = (RS) U
Eliminating U from both sides you have: (ST) = (RS) The proof is done.
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