Question

Graph the image of quadrilateral TUVW after the following sequence of transformations:
Reflection across the line y=–x
Rotation 270° counterclockwise around the origin
T= (-4, -10)
U= (-8, -14)
V= (-12, -6)
W= (-8, -4)

Answer 1

Step 1 — reflection across y = −x: (x,y) → (−y, −x)
- T(−4, −10) → T' = (10, 4)
- U(−8, −14) → U' = (14, 8)
- V(−12, −6) → V' = (6, 12)
- W(−8, −4) → W' = (4, 8)

Step 2 — rotation 270° counterclockwise about the origin: (x,y) → (y, −x)
- T' (10,4) → T'' = (4, −10)
- U' (14,8) → U'' = (8, −14)
- V' (6,12) → V'' = (12, −6)
- W' (4,8) → W'' = (8, −4)

So the image vertices are T''(4, −10), U''(8, −14), V''(12, −6), W''(8, −4). These are the points to plot.