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Oct 23rd, 2017

16. x' = x + 1; y' = y – 3

18. x' = x – 4; y' = y – 3

20. If we place Enid at the origin of the coordinate system (where the x-axis is directed east, the y-axis is directed north, and the unit is 1 mi), then the coordinates of Tulsa will be (107; – 18). Norman's position can be obtained by translation: 107 – 83 = 24; –18 – 63 = –81.

Answer: Norman is 24 mi east and 81 mi south of Enid.

22. If the coordinates of P are (–2; 0), then the coordinates of P' are (–2 + 2; 0 + (–3)) = (0; –3). The slope of the line PP' is mPP' = (–3 – 0)/(0 – (–2)) = –3/2. In the same way we may conclude that the slopes of LL', AA', and TT' are also equal to –3/2, and these lines are parallel.  


Mar 12th, 2015

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