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    Triangle Coordinates After Reflection and Mapping

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    Triangle abc has coordinates a(-1,3), b(-6,5), and c(-4,7):
    1- The coordinates of triangle a'b'c', the image of triangle abc after a reflection in the x-axis are a'------, ----- b'-----, ----- c'-----, -----?
    2- The coordinates of triangle a''b''c'', the image of triangle abc after a reflection in the line y=x, are a''-----, ----- b''-----, ----- c''----, -----?
    3- The coordinates of triangle a'''b'''c''', the image of triangle abc under the translation which maps (x,y) to (x+8,y+3) are, a'''----, ---- b'''----,---- c'''-----,-----?

    © BrainMass Inc. brainmass.com December 24, 2021, 11:10 pm ad1c9bdddf
    https://brainmass.com/math/triangles/triangle-coordinates-reflection-mapping-544732

    SOLUTION This solution is FREE courtesy of BrainMass!

    1- The coordinates of triangle a'b'c', the image of triangle abc after a reflection in the x-axis are a'------, ----- b'-----, ----- c'-----, -----?
    Ans: for reflection in the x-axis, we only change sign of y-coordinate and keep x-coordinate same.
    So a'(-1,-3), b'(-6,-5) and C'(-4,-7)

    2- The coordinates of triangle a''b''c'', the image of triangle abc after a reflection in the line y=x, are a''-----, ----- b''-----, ----- c''----, -----?
    Ans: for reflection in the x-axis, we only switch y-coordinate and x-coordinate.
    So a''(3,-1), b''(5,-6) and C'(7,-4)

    3- The coordinates of triangle a'''b'''c''', the image of triangle abc under the translation which maps (x,y) to (x+8,y+3) are, a'''----, ---- b'''----,---- c'''-----,-----?
    Ans: a(-1+8,3+3)=(7,6), b(-6+8,5+3)=(2,8) , and c(-4+8,7+3)=(4,10).

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 11:10 pm ad1c9bdddf>
    https://brainmass.com/math/triangles/triangle-coordinates-reflection-mapping-544732

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