Question

Which of the following is a dilation?

a) (x,y)→(x,2y)
b) (x,y)→(2x,y)
c) (x,y)→(2x,2y)
d) (x,y)=(x,y−2)

Answer 1

Option (c) (x,y)→(2x,2y) is a dilation because it scales all points relative to a fixed center, multiplying them by a consistent scale factor of 2.

Step-by-step explanation:

The question asks which of the following is a dilation:

• (a) (x,y)→(x,2y)
• (b) (x,y)→(2x,y)
• (c) (x,y)→(2x,2y)
• (d) (x,y)=(x,y−2)

Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It scales all points relative to a fixed center point, and all distances are multiplied by the same factor (called the scale factor). In this case, option (c), which is (x,y)→(2x,2y), represents a dilation since all coordinates are multiplied by the same scale factor of 2.