Question

Which set of transformations has been performed on triangle ABC to form triangle A’B’C’?

A. Dilation by a scale factor of 4 followed by reflection about the x-axis
B. Dilation by a scale factor of 2 followed by reflection about the x-axis
C. Dilation by a scale factor of 4 followed by reflection about the y-axis
D. Dilation by a scale factor of 2 followed by reflection about the y-axis

Answer 1

The answer is D, dilation by a scale factor of 2 followed by reflection about the y- axis.

Answer 2

D. Dilation by a scale factor of 2 followed by reflection about the y-axis

Explanation:

The pre image or original triangle ABC is first enlarged by a scale factor of 2. Means its each side is multiplies by 2 or we can say that each side in the new triangle A'B'C' has become 2 times the pre image.

Then afterwards, it is reflected over to y axis. When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. The new image is just the opposite image of the pre image but its enlarged.