To translate a point or a shape on a coordinate plane, you simply add or subtract the same value to the x-coordinate and y-coordinate of each vertex.
To translate the triangle 2 units left, subtract 2 from the x-coordinate of each vertex:
J': (-2-2, -3+4) = (-4, 1)
K': (1-2, -1+4) = (-1, 3)
L': (4-2, -2+4) = (2, 2)
To translate the triangle 4 units up, add 4 to the y-coordinate of each vertex:
J': (-4, 1+4) = (-4, 5)
K': (-1, 3+4) = (-1, 7)
L': (2, 2+4) = (2, 6)
Therefore, the coordinates of the vertices of the translated triangle △J'K'L' are J'(-4, 5), K'(-1, 7), and L'(2, 6).
The coordinates of the vertices of △JKL are J(−2, −3), K(1, −1), and L(4, −2).
The coordinate graph shows triangle J K L with coordinates
* J, negative 2, negative 3,
* K, 1, negative 1.
* L, 4, negative 2.
The triangle is translated 2 units left and 4 units up. What are the coordinates of the vertices of △J′K′L′, the translated triangle?
1 answer