Question

a designer plans a wallpaper border using triangles. the designer draws △jkl in the coordinate plane. then they translate △jkl 6 units to the right to form △jkl.

Explanation:

Step1: Recall translation rule

For a translation of 6 units to the right, we add 6 to the x - coordinate of each vertex while keeping the y - coordinate the same.

Step2: Find new coordinates of point J

If J has coordinates (-2,1), new x - coordinate is - 2+6 = 4, y - coordinate remains 1. So J' is (4,1).

Step3: Find new coordinates of point K

If K has coordinates (-4,2), new x - coordinate is - 4+6 = 2, y - coordinate remains 2. So K' is (2,2).

Step4: Find new coordinates of point L

If L has coordinates (-4,5), new x - coordinate is - 4+6 = 2, y - coordinate remains 5. So L' is (2,5).

Answer:

J'(4,1), K'(2,2), L'(2,5)