Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the vertices of the f

Question

Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the vertices of the final image?

A. A’(-1, -8), B’(-2, -2), and C’(5, -2)
B. A‘ (-6, -8), B‘(-7, -2), and C‘(0, -2)
C. A‘(-1, 5), B‘(-3, -7), and C‘(5, -3)
D. A’(-5, 1), B’(-2, -7), and C‘(5, -7)

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Thiên Thanh 3 weeks 2021-09-02T09:26:20+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-02T09:27:37+00:00

    The answer is B because u just had this question the other day 😀

    0
    2021-09-02T09:28:10+00:00

    Hi there!

    The answer to your question is B my explanation is below

    The coordinates of the vertices of the final image will be:

    A”(-6, 8), B”(-7, -2), and C”(0, -2)

    Hence, option (B) is true.

    Step-by-step explanation:

    Given the triangle with the vertices

    A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

    Thus,

    The rule of reflection across the x-axis:

    (x, y) → (x, -y)

    so

    A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

    B(-2, 2) → B'(-2, -2) = B'(-2, -2)

    C(5, 2) → C'(5, -2) = C'(5, -2)

    Then, translate the new triangle 5 units to the left

    Rule of translating 5 units to the left

    (x, y) → (x-5, y)

    so

    A'(-1, 8) → A”(-1-5, 8) = A”(-6, 8)

    B'(-2, -2) → B”(-2-5, -2) = B”(-7, -2)

    C'(5, -2) → C”(5-5, -2) = C”(0, -2)

    Therefore, the coordinates of the vertices of the final image will be:

    A”(-6, 8), B”(-7, -2), and C”(0, -2)

    Hence, option (B) is true.

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