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

triangle ABC on a coordinate plane with vertices at negative 8 comma 1, 0 comma 1, negative 4 comma 5

Determine the coordinates of the image if triangle ABC is translated 8 units to the right.
A′(−14, 1), B′(−8, 1), C′(−12, 5)
A′(−6, 9), B′(0, 9), C′(−4, 13)
A′(0, 1), B′(8, 1), C′(4, 5)
A′(2, −7), B′(8, −7), C′(4, −3)

1 answer

To determine the coordinates of the image of triangle ABC after it is translated 8 units to the right, we need to add 8 to the x-coordinate of each vertex.

The coordinates of the vertices of triangle ABC are:

  • A(−8, 1)
  • B(0, 1)
  • C(−4, 5)

Now, let's translate each vertex 8 units to the right:

  1. For vertex A(−8, 1): \[ A' = (−8 + 8, 1) = (0, 1) \]

  2. For vertex B(0, 1): \[ B' = (0 + 8, 1) = (8, 1) \]

  3. For vertex C(−4, 5): \[ C' = (−4 + 8, 5) = (4, 5) \]

After the translation, the coordinates of the image are:

  • A′(0, 1)
  • B′(8, 1)
  • C′(4, 5)

Thus, the correct answer is: A′(0, 1), B′(8, 1), C′(4, 5).