Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?
2 answers:
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Dividing by a fraction is the same as multiplying by its reciprocal. (flipped version)
6 and 9 are both divisible by 3, so we can simplify 6/9 = 2/3.
We can multiply across right now, but we might as well cross cancel.
Look at the numbers diagonal from one another...-3 and 3 are both divisible by 3, so we can change them to -1 and 1...2 and 2 are both divisible by 2, so we can change them to 1 and 1...
Any fraction over 1 can just be expressed as a whole number.
Our final answer...
If you were to multiply across, (maybe you don't like cross cancelling, idk?) you'd get the same answer, of course.