Question

alfredo graphed congruent pentagons j and h on a coordinate plane, as shown. alfredo will perform a sequence of transformations on pentagon j such that its image is pentagon h. which of the following could be the sequence of transformations that alfredo will perform? a. a reflection over the x - axis and a translation 4 units left b. a reflection over the x - axis and a translation 8 units down c. a reflection over the y - axis and a translation 8 units down d. a reflection over the y - axis and a translation 4 units left and 8 units down

Explanation:

Step1: Analyze reflection

To go from pentagon J to pentagon H, we first note that a reflection over the y - axis will flip the pentagon to the left - hand side of the y - axis.

Step2: Analyze translation

After reflecting over the y - axis, we need to move the pentagon down. Counting the vertical distance between the corresponding points of the reflected J and H, we see that we need to move 8 units down.

Answer:

C. A reflection over the y - axis and a translation 8 units down