Question

If a triangle with vertices (4,3) (8,3) and (7,5) is translated to the right four units and down two units what are the vertices of the translated figure

Answer 1

To translate a figure to the right four units and down two units, we add 4 to the x-coordinate and subtract 2 from the y-coordinate of each vertex.

The given vertices are (4,3), (8,3), and (7,5).

For the first vertex (4,3), the x-coordinate becomes 4 + 4 = 8 and the y-coordinate becomes 3 - 2 = 1.
So, the translated first vertex is (8,1).

For the second vertex (8,3), the x-coordinate becomes 8 + 4 = 12 and the y-coordinate becomes 3 - 2 = 1.
So, the translated second vertex is (12,1).

For the third vertex (7,5), the x-coordinate becomes 7 + 4 = 11 and the y-coordinate becomes 5 - 2 = 3.
So, the translated third vertex is (11,3).

Therefore, the vertices of the translated figure are (8,1), (12,1), and (11,3).