Question

Triangle SKY with vertices S(-6, -6), K(-1, -2), and Y(-4, -7) undergoes a translation along the given vector, <-2, 3>. What are the coordinates of the image?

A) S(-8, 1), K(-3, 1), Y(-6, -4)
B) S(-8, -3), K(-3, 1), Y(-6, -4)
C) S(-4, 3), K(1, 1), Y(-2, -4)
D) S(-4, -9), K(1, -1), Y(-2, -4)

Answer 1

The coordinates of the image after the translation are S(-8, -3), K(-3, 1), and Y(-6, -4).

Step-by-step explanation:

The coordinates of the image after the translation can be found by adding the translation vector to each vertex of the original triangle.

The translation vector is <-2, 3>. So, the coordinates of the image are:

• S: (-6, -6) + (-2, 3) = (-8, -3)
• K: (-1, -2) + (-2, 3) = (-3, 1)
• Y: (-4, -7) + (-2, 3) = (-6, -4)

Therefore, the coordinates of the image triangle are S(-8, -3), K(-3, 1), and Y(-6, -4).