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anonymous

  • one year ago

∆ABC is plotted on a coordinate plane. If ∆ABC rotates 90° clockwise around point C, what are the coordinates of A'? (0, 2) (4, 6) (7, 6) (8, 2)

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  1. muscrat123
    • one year ago
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    Do u have graph paper?

  2. muscrat123
    • one year ago
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    Or is there a graph with the question?

  3. anonymous
    • one year ago
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    yes

  4. muscrat123
    • one year ago
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    Which one?

  5. anonymous
    • one year ago
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    its a graph with a question

  6. anonymous
    • one year ago
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  7. muscrat123
    • one year ago
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    Hang on

  8. muscrat123
    • one year ago
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    it wont let me open the attachment

  9. anonymous
    • one year ago
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    Say, (a1,a2) and (c1,c2) be the co-ordinates of the points A and C respectively. Say the origin is denoted by O. The vectors OA and OC are given by a1 + ia2 and c1 + ic2 resp. The vector CA is given by (a1-c1)+ i(a2-c2) This segment rotates clockwise by 90 degrees around C. This operation is the same as multiplication by -i. So, the rotated vector is (a2-c2) - i(a1-c1) , call this CA' , A' is the new position of A. Therefore the vector OA' is given by (a2-c2) - i(a1-c1) + c1 + ic2 = (a2-c2+c1) + i(c2 + c1 - a2) [what we did was simply OA' = CA' + OC, vector addition] So, the new position of A, that is A' has the co-ordinates ((a2-c2+c1),(c2+c1-a2)) Plug in the values given in your specific problem.

  10. anonymous
    • one year ago
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    thank u 💙

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