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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each pair of points A and B to point C such that ∠ABC = 90°. A(3, 3) and B(12, 6) C(6, 52) A(-10, 5) and B(12, 16) C(16, -6) A(-8, 3) and B(12, 8) C(18, 4) A(12, -14) and B(-16, 21)

User Mprivat
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1 Answer

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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)

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.

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match-example-1
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match-example-2
User Andrey Vykhodtsev
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