Question

Triangle ABC is shown. Use the graph to answer the question.

triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2

Determine the coordinates of the image if triangle ABC is translated 6 units down.

A′(−5, −2), B′(3, −2), C′(−1, 2)
A′(1, 4), B′(9, 4), C′(5, 8)
A′(1, −8), B′(9, −8), C′(5, −4)
A′(7, −2), B′(15, −2), C′(11, 2)

Answer 1

To determine the coordinates of triangle ABC after a translation of 6 units down, we need to subtract 6 from the y-coordinates of each vertex.

The original coordinates of the triangle vertices are:
- A(1, -2)
- B(9, -2)
- C(5, 2)

Now, we will apply the translation:

1. A(1, -2) becomes A′(1, -2 - 6) = A′(1, -8)
2. B(9, -2) becomes B′(9, -2 - 6) = B′(9, -8)
3. C(5, 2) becomes C′(5, 2 - 6) = C′(5, -4)

So the new coordinates for the translated triangle are:
- A′(1, -8)
- B′(9, -8)
- C′(5, -4)

Therefore, the correct choice is:

A′(1, −8), B′(9, −8), C′(5, −4)