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

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

Step-by-step 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.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,