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Answer:
- A(3, 3) and B(12, 6), C(16, -6)
- A(-10, 5) and B(12, 16), C(18, 4)
Step-by-step explanation:
As the attached diagram shows, a perpendicular line from B intersects a choice of C only for B1(12, 6) and B2(12, 16). We note that there are only 3 choices of point C shown, instead of 4, so the question may be incomplete.
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It seems easiest to graph the points and use a square (right-angle tool) to identify points C that may be appropriate.
It can also work to use a spreadsheet to do the slope calculations. You want to find a point C such that BC ⊥ AB, for a given AB pair. That is, the slope of BC is the negative reciprocal of the slope of AB.
The 2nd and 3rd C points listed make right angles with the 1st and 2nd AB pairs listed, respectively.
