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(40 B Points) Point A is located at coordinates -4,3 What are the coordinates of each point? Point B is the image of A after a rotation of 180 degrees using 0,0 as center. Point C is the image of A after a translation two units to the right, then a reflection using the x-axis. Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.

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sheabutta2706

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      Coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

Rules for the transformation:

  •    If a point P(x, y) is rotated by 180° about the origin (0, 0),

            Rule for the transformation will be,

            P(x, y) → P'(-x, -y)

  •    If a point P(x, y) is shifted 'a' units left and 'b' units upwards,

            Rule for the transformation will be,

            P(x, y) → P'(x - a, y + b)

  •    If a point P(x, y) is reflected across y-axis,

            Rule for the transformation will be,

            P(x, y) → P'(-x, y)

By using these rules,

"If a point A(-4, 3) is rotated 180° about the center (0, 0)"

Rule for the transformation,

P(x, y) → P'(-x, -y)

A(-4, 3) → B(4, -3)

"If a point A(-4, 3) is translated 2 units right and then reflected across x-axis."

Rule for the transformation,

P(x, y) → P'[(x + a), -y]

A(-4, 3) → C[(-4+2), -3]

            → C(-2, -3)

"If a point A(x, y) is reflected across y-axis, then translated by 2 units to the right"

Rule for the transformation,

P(x, y) → P'[(-x + a), y]

A(-4, 3) → D[(4 + 2, 3]

            → D(6, 3)

    Therefore, coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

Learn more about the transformations here,

https://brainly.com/question/13163171?referrer=searchResults

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