If a triangle with vertices (4, 3) , (8, 3) , and (7, 5) is translated to the right 4 units and down 2 units, what are the vertices of the translated figure?
MY ANSWER IS: (0, 1), (4, 1), and (3, 3)
It says 4 units to the right and 2 units down.
Your answer is not correct.
To translate a point (x, y) to the right 4 units, you add 4 to the x-coordinate. To translate it down 2 units, you subtract 2 from the y-coordinate.
For the first vertex (4, 3), we add 4 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = 4 + 4 = 8
New y-coordinate = 3 - 2 = 1
So the first vertex of the translated figure is (8, 1).
For the second vertex (8, 3), we add 4 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = 8 + 4 = 12
New y-coordinate = 3 - 2 = 1
So the second vertex of the translated figure is (12, 1).
For the third vertex (7, 5), we add 4 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate = 7 + 4 = 11
New y-coordinate = 5 - 2 = 3
So the third vertex of the translated figure is (11, 3).
Therefore, the vertices of the translated figure are (8, 1), (12, 1), and (11, 3).