Mathematics

Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again over the y-axis to create △A'B'C'. Which are the coordinates of vertex A'?

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  1. Making a sketch will certainly help you to understand the question

    I will use point B(-7,10) to illustrate

    reflection over the x-axis: (-7,10) ----> (-7,-10)
    reflection of this new point over the y-axis: (-7,-10) ----> (7,-10)

    So in effect the two transformation have resulted in a reflection in the origin, that is
    (x,y) ----> (-x,-y) , (the signs have reversed)

    Now apply this to point A.

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    Reiny

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