Question

Describe the transformation for the given points:

(2,5) = (4,2)
(7,9) = (9,6)
(0,3) = (2,0)

A) Reflection
B) Translation
C) Rotation
D) Dilation

Answer 1

The transformation applied to the given points is a translation, where each point is shifted 2 units to the right and 3 units down.

Step-by-step explanation:

The student is asking about the type of transformation that has been applied to a set of points. By observing the changes in the coordinates, we can determine the nature of the transformation:

• (2,5) → (4,2) shows a change of +2 in the x-coordinate and -3 in the y-coordinate.

• (7,9) → (9,6) also shows a change of +2 in the x-coordinate and -3 in the y-coordinate.

• (0,3) → (2,0) similarly shows a change of +2 in the x-coordinate and -3 in the y-coordinate.

Since all points are shifted by the same amount in both the x and y directions, the transformation is a translation. Each point has been moved 2 units to the right and 3 units down.