Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, triangle F

Question

Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, triangle F G H has points (negative 2, 1), (negative 3, 3), (0, 1). Triangle F prime G prime H prime has points (negative 8, negative 4), (negative 12, negative 12), (0, negative 4). Which identifies the transformation that occurred after the dilation? a dilation by a scale factor of 3 and then a reflection across the x-axis a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin a dilation by a scale factor of 4 and then a reflection across the x-axis a dilation by a scale factor of 4 and then a 180 degrees rotation about the origin

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Audrey 2 months 2021-10-14T23:21:27+00:00 2 Answers 0 views 0

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    0
    2021-10-14T23:22:35+00:00

    Answer:

    a dilation by a scale factor of 4 and then a reflection across the x-axis

    Step-by-step explanation:

    Given the coordinates of triangle FGH:

    F (-2, 1)

    G (-3, 3)

    H (0, 1)

    After a dilation by a scale factor of 4 we get:

    F (-2, 1) -> (-2*4, 4*1) -> (-8, 4)

    G (-3, 3) -> (-3*4, 3*4) -> (-12, 12)

    H (0, 1) -> (0, 4*1) -> (0, 4)

    A reflection across the x-axis transforms point (x, y) into (x, -y), then:

    (-8, 4) -> (-8, -4) which corresponds to F’

    (-12, 12) -> (-12, -12) which corresponds to G’

    (0, 4) -> (0, -4) which corresponds to H’

    0
    2021-10-14T23:23:24+00:00

    Answer:

    a dilation by a scale factor of 4 and then a reflection across the x-axis

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