Question

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':

Triangles ABC and A'B'C' are shown. A is at (3, 1), B is at (2, 6), C is at (6, 5). A' is at (-5, 4), B' is at (-6, 9), C' is at (-2, 8).

Which of the following completes the rule for this translation, (x, y) → (x - 8, ___)?

A. y - 6
B. y - 3
C. y + 6
D. y + 3

Answer 1

To complete the rule for this translation, subtract 8 from the x-coordinate and decrease the y-coordinate by 3.

Step-by-step explanation:

To complete the rule for this translation, we need to determine the pattern for the y-coordinate. In this case, the y-coordinate is decreasing by 2 each time. We can see this by comparing the y-coordinates of the original triangle and its image. For example, A (3, 1) becomes A' (-5, 4), which means the y-coordinate increased by 3. By subtracting 8 from the x-coordinate and decreasing the y-coordinate by 3, we get the complete rule: (x, y) → (x - 8, y - 3).