Question

if a triangle with vertices ( 4, 3 ) ( 8, 3 ) and ( 7, 5 ) it's translated to the right four units and down two units. What are the vertices of the translated figure?

Answer 1

To translate a figure, you need to add the same value to the x-coordinates and y-coordinates of all its vertices.

In this case, the original triangle has vertices (4, 3), (8, 3), and (7, 5).

To translate the triangle to the right four units, we add 4 to the x-coordinates:
(4 + 4, 3) = (8, 3)
(8 + 4, 3) = (12, 3)
(7 + 4, 5) = (11, 5)

To translate the triangle down two units, we subtract 2 from the y-coordinates:
(8, 3 - 2) = (8, 1)
(12, 3 - 2) = (12, 1)
(11, 5 - 2) = (11, 3)

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