Use the graph to complete the statement. O is the origin. R y−axis ο Ry=x : (2,3)

Question

Answer 1

Hi,

This problem is an example of a composition of rigid transformations.

R stands for reflection (flip), r represents rotation (turn), T represents translation (slide)

Let's look at the steps needed to complete the transformation: (R_y-axis ∘ R_y=x ) (2,3)

***When working with composition, we work right to left.

1. Start by plotting the point (2,3)
2. R_y=x (2,3) tells us to reflect the point across the line y=x
3. (2,3) becomes (3,2)
4. R_y-axis (3,2) tells us to reflect the new point across the y-axis
5. (3,2) becomes (-3,2)

(R_y-axis ∘ R_y=x ) (2,3) = (-3,2)