Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A’?

Question

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A’?

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Thanh Hà 4 years 2021-09-04T17:42:58+00:00 1 Answers 10 views 0

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  1. Thunguyet
    0
    2021-09-04T17:44:48+00:00
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    Answer:

    The coordinates of point A’ will be: A'(-2, 0)

    Step-by-step explanation:

    We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

    Translation does not change the size, orientation, or shape of the original object.

    Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

    Now we have to translate the triangle 4 units up. So, use the formula

    P(x, y) → P'(x, y + 3)

    Thus, the coordinates of point A’ will be:

    A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

    Therefore, the coordinates of point A’ will be: A'(-2, 0)

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