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Jaydin draws a triangle on the coordinate grid. Its vertices are at (-4,3), (-1, -5), and (-2, 6). He translates this triangle 5 units up and 2 units to the right. What are the coordinates of the lowest vertex on the translated triangle?

a. (0, 1)
b. (-2, 8)
c. (1, 0)
d. (4, -3)

1 answer

To find the coordinates of the lowest vertex on the translated triangle, we first identify the original coordinates of each vertex:

  1. Vertex A: (-4, 3)
  2. Vertex B: (-1, -5)
  3. Vertex C: (-2, 6)

Now, we need to identify the lowest vertex among them. The y-coordinates are:

  • Vertex A: y = 3
  • Vertex B: y = -5
  • Vertex C: y = 6

The lowest vertex is Vertex B with coordinates (-1, -5).

Next, we translate this vertex 5 units up and 2 units to the right. The translation is done as follows:

  • To move 5 units up, we add 5 to the y-coordinate: \[ -5 + 5 = 0 \]
  • To move 2 units to the right, we add 2 to the x-coordinate: \[ -1 + 2 = 1 \]

Therefore, the new coordinates of the lowest vertex after translation will be (1, 0).

The answer is (1, 0), which corresponds to option c.

Final answer: c. (1, 0)