Question

4

Triangle ABC is shown. Use the graph to answer the question.
Determine the coordinates of the image if triangle ABC is translated 5 units down
OA(-4,-2), B(4,-2). C'(0, 2)
OA(1, -7), 8(9,-7). C'(5,-3)
OA(1, 3), B(9, 3), C'(5, 7)

Answer 1

To translate a figure 5 units down, we need to subtract 5 from the y-coordinates of all the vertices of the triangle.

Given that A(-4, -2), B(4, -2), and C(0, 2), the new coordinates of the vertices after the translation are:

A' = (-4, -2 - 5) = (-4, -7)
B' = (4, -2 - 5) = (4, -7)
C' = (0, 2 - 5) = (0, -3)

Therefore, the coordinates of the image of triangle ABC after it is translated 5 units down are A'(-4, -7), B'(4, -7), and C'(0, -3).

So, option B (A(1, -7), B(9,-7), C'(5,-3)) is the closest match to the image after the translation