Question

15.
ex # given: si = wm
prove: sw = im
statement:
reason

Explanation:

Step1: Use the segment - addition postulate

By the segment - addition postulate, \(SI = SW + WI\) and \(WM=WI + IM\).

Step2: Substitute the given equality

Since \(SI = WM\) (given), we substitute: \(SW + WI=WI + IM\).

Step3: Subtract \(WI\) from both sides

Using the subtraction property of equality (\(a + c=b + c\Rightarrow a = b\)), if we subtract \(WI\) from both sides of the equation \(SW + WI=WI + IM\), we get \(SW=IM\).

Answer:

\(SW = IM\) is proved.