Please help me ! Point K is located at (17,−21). If point K is reflected across the x-axis, what are the coordinates of the reflec

Please help me ! Point K is located at (17,−21). If point K is reflected across the x-axis, what are the coordinates of the reflected point?

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  1. Given : Point K is located at (17,−21). point K is reflected across the x-axis,

    To Find : the coordinates of the reflected point?

    Solution:

    point ( x , y) reflected across x -axis becomes ( x , – y)

    point ( x , y) reflected across y -axis becomes ( -x , y)

    point ( x , y) reflected across y= x or origin becomes ( -x , -y)

    Point K is located at (17,−21). point K is reflected across the x-axis,

    => (17 , -21) becomes ( 17 , 21)

    coordinates of the reflected point = ( 17 , 21)

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  2. Given : Point K is located at (17,−21). If point K is reflected across the x-axis, what are the coordinates of the reflected point ?

    Solution :

    We know that, when coordinates (x,y) is reflected across the x-axis, the coordinates of the reflected point will be :-

    • (x , – y) .
    • The x-coordinate remains the same .
    • The y-coordinate is transformed into its opposite (its sign is changed).

    so, when K (17, – 21) is reflected across the x-axis, x-coordinate remains the same and y-coordinate sign will change .

    then,

    → K (17, – 21) = K'(17 , 21) (Ans.)

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