A triangle has vertices (-3, 2), (0, 5), and (4, 2). What are the vertices after translating the triangle 3 units up? Draw a graph if necessary.(1 point)Responses (0, 2), (3, 5), and (7, 2) (0, 2), (3, 5), and (7, 2) (-3, 5), (0, 8), and (4, 5) (-3, 5), (0, 8), and (4, 5) (-3, -1), (0, 2), and (4, -1) (-3, -1), (0, 2), and (4, -1) (-6, 2), (-3, 5), and (1, 2)

1 answer

To translate a triangle 3 units up, you need to add 3 to the y-coordinate of each vertex.

The original vertices of the triangle are:

  1. Vertex A: (-3, 2)
  2. Vertex B: (0, 5)
  3. Vertex C: (4, 2)

Now, we will translate each vertex:

  • For Vertex A: \((-3, 2) \rightarrow (-3, 2 + 3) = (-3, 5)\)

  • For Vertex B: \((0, 5) \rightarrow (0, 5 + 3) = (0, 8)\)

  • For Vertex C: \((4, 2) \rightarrow (4, 2 + 3) = (4, 5)\)

After the translation, the new vertices are:

  • A' (-3, 5)
  • B' (0, 8)
  • C' (4, 5)

Therefore, the vertices after translating the triangle 3 units up are: (-3, 5), (0, 8), and (4, 5).

The correct option is:

  • (-3, 5), (0, 8), and (4, 5)