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?
answers:
A (8, 1), (12, 1), and (11, 3)
B (8, 5), (12, 5), and (11, 7)
C (0, 1), (4, 1), and (3, 3)
D (8, 3), (12, 3), and (11, 5)
To translate a point to the right 4 units, we add 4 to the x-coordinate. To translate a point down 2 units, we subtract 2 from the y-coordinate.
For the first vertex (4, 3):
To translate it to the right 4 units, we add 4 to the x-coordinate: 4 + 4 = 8.
To translate it down 2 units, we subtract 2 from the y-coordinate: 3 - 2 = 1.
Therefore, the translated coordinates of the first vertex are (8, 1).
For the second vertex (8, 3):
To translate it to the right 4 units, we add 4 to the x-coordinate: 8 + 4 = 12.
To translate it down 2 units, we subtract 2 from the y-coordinate: 3 - 2 = 1.
Therefore, the translated coordinates of the second vertex are (12, 1).
For the third vertex (7, 5):
To translate it to the right 4 units, we add 4 to the x-coordinate: 7 + 4 = 11.
To translate it down 2 units, we subtract 2 from the y-coordinate: 5 - 2 = 3.
Therefore, the translated coordinates of the third vertex are (11, 3).
Hence, the vertices of the translated figure are:
(A) (8, 1), (12, 1), and (11, 3).