Question

Which sequence of transformations produces R’S’T’ from RST?

On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis

Answer 1

Translation 2 units right, then reflection over the x-axis.

Check:
- R(0,0) -> translate -> (2,0) -> reflect -> (2,0) = R'
- S(-2,3) -> translate -> (0,3) -> reflect -> (0,-3) = S'
- T(-3,1) -> translate -> (-1,1) -> reflect -> (-1,-1) = T'

So option D is correct.