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A coordinate plane with four quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A triangle is formed by joining three points A B C. The coordinates of the plotted points of the triangle are as follows: Vertex A is left parenthesis 0 comma 0 right parenthesis, vertex B is left parenthesis 6 comma 4 right parenthesis, and vertex C is left parenthesis 9 comma 0 right parenthesis. If the given triangle ABC

is translated 8 units down, what are the coordinates of point B′

1 answer

To translate point B, which has coordinates (6, 4), 8 units down, you need to subtract 8 from the y-coordinate while keeping the x-coordinate the same.

The calculation for the new coordinates (B') would be as follows:

  • Original coordinates of B: (6, 4)
  • Translation down by 8 units:
    • New x-coordinate: 6
    • New y-coordinate: 4 - 8 = -4

Therefore, the new coordinates for point B' are (6, -4).