Question

Linda draws a triangle on the coordinate grid with vertices at (1,2), (3, -4), and (1,0). She translates this triangle 3 units to the left and 1 unit down. What are the coordinates of the rightmost vertex on her translated triangle?

Write in a 5th grade response in three sentences Explain by showing wirk

Answer 1

To find the new coordinates of Linda's triangle after she translates it, we need to subtract 3 from the x-coordinates (moving left) and subtract 1 from the y-coordinates (moving down). The original vertices are (1,2), (3,-4), and (1,0).

1. For (1,2), the new coordinates are (1 - 3, 2 - 1) = (-2, 1).
2. For (3,-4), the new coordinates are (3 - 3, -4 - 1) = (0, -5).
3. For (1,0), the new coordinates are (1 - 3, 0 - 1) = (-2, -1).

After translating, the new vertices of the triangle are (-2, 1), (0, -5), and (-2, -1). The rightmost vertex is (0, -5) because it has the highest x-coordinate.