Question

figure u is the result of a transformation on figure t. which transformation would accomplish this? answer a translation 2 units left and 3 units down a rotation 90° counterclockwise about the origin a translation 3 units left and 2 units down a rotation 90° clockwise about the origin

Explanation:

Step1: Analyze translation

Translation moves a figure without rotation or reflection. By observing the positions of key - points of Figure T and Figure U, we can rule out translation options as the orientation of the figure has changed.

Step2: Recall rotation rules

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point (x,y) is (-y,x). For a 90 - degree clockwise rotation about the origin, the transformation rule for a point (x,y) is (y, - x).

Step3: Check rotation

If we take a point on Figure T, say (2,2), a 90 - degree clockwise rotation about the origin using the rule (y, - x) gives (2,-2). By checking multiple key - points of Figure T and seeing how they map to Figure U, we find that a 90 - degree clockwise rotation about the origin is the correct transformation.

Answer:

A rotation 90° clockwise about the origin