Question

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

Answer 1

To translate a point down on the coordinate plane, we subtract from the y-coordinate.

For point B, which is at coordinates \( B(6, 4) \):
- The x-coordinate remains the same: \( 6 \).
- The y-coordinate is updated by subtracting 8: \( 4 - 8 = -4 \).

Thus, the new coordinates of point \( B' \) after translating point B down 8 units are:

\[
B' = (6, -4)
\]