Question

figure t is the result of a transformation on figure s. which transformation would accomplish this?
answer
○ a rotation 180° clockwise about the origin
○ a translation 9 units to the right and 1 unit up
○ a rotation 90° counterclockwise about the origin
○ a rotation 90° clockwise about the origin

Explanation:

1. Check translation: Figure T is not shifted right/up from S; translation is invalid.
2. Check 180° rotation: A 180° rotation maps $(x,y)$ to $(-x,-y)$. This would place T in the third quadrant, which does not match the diagram.
3. Check 90° clockwise rotation: A 90° clockwise rotation maps $(x,y)$ to $(y,-x)$. This would not produce the orientation of Figure T.
4. Check 90° counterclockwise rotation: A 90° counterclockwise rotation about the origin maps a point $(x,y)$ to $(-y,x)$. Applying this to the vertices of Figure S results in the vertices of Figure T, matching the diagram.

Answer:

A rotation 90° counterclockwise about the origin