Question

Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?

Answer 1

9514 1404 393

Answer:

(3, 2)

Explanation:

Reflection across y=x swaps the coordinates:

(x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

(x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

(x, y) ⇒ (y/2, x/2)

(4, 6) ⇒ (3, 2)