Question

Which describes how triangle FGH could be transformed to triangle in two steps?Which identifies the transformation that occurred after the dilation?

Answer 1

A dilation by a scale factor of 4 and then a reflection across the x-axis.

Explanation:

In the image attached you can observe the original triangle and the transformed triangle.

Notice that transformed triangle is opposite to the original with respect to the x-axis, that means there was need a reflection across the x-axis to have that transformation.

Also, the triangle was dilated by a scale factor of 4, because each original coordinate is the fourth part of the transformed coordinates, for example, point F(-2, 1) was transformed to F'(-8,-4).

Therefore, the right answer is: a dilation by a scale factor of 4 and then a reflection across the x-axis.