Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dil

Question

Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)

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Thu Thủy 4 months 2021-08-06T09:22:21+00:00 1 Answers 5 views 0

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    2021-08-06T09:23:32+00:00

    Answer:

    B' = (-2,-3)

    Step-by-step explanation:

    Given

    A = (1,-4)

    B = (4,-6)

    C = (2,-1)

    reflection across y

    d = \frac{1}{2}

    Required

    New coordinate of B

    When reflected across the y-axis.

    The rule is:

    (x,y) \to (-x,y)

    So:

    (4,-6) \to (-4,-6)

    Next is a dilation by 1/2

    To do this, we multiply the new point by 1/2

    So:

    B' = (-4,-6) * \frac{1}{2}

    B' = (-4* \frac{1}{2},-6* \frac{1}{2})

    B' = (-2,-3)

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