A triangle has vertices at S(1, 1), T(2, −3), and U(4, 0). The triangle is translated up 3 units. What are the coordinates of the vertices of the image?

Question

A. S'(4, 1), T'(5, −3), and U'(7, 0)
B. S'(1, 4), T'(2, 0), and U'(4, 3)
C. S'(1, 4), T'(2, −3), and U'(4, 0)
D. S'(1, −2), T'(2, −6), and U'(4, −3)

Answer 1

The translation up 3 units means adding 3 to the y-coordinate of each point. Therefore, the image of S(1, 1) will be S'(1, 1+3)=(1,4), the image of T(2, -3) will be T'(2, -3+3)=(2,0), and the image of U(4, 0) will be U'(4, 0+3)=(4,3). Therefore, the answer is B. S'(1, 4), T'(2, 0), and U'(4, 3).