Question

one vertex of a triangle is located at (0, 5) on a coordinate grid. after a transformation, the vertex is located at (5, 0). which transformations could have taken place? choose two correct answers. r_0,90° r_0, - 90° r_0, - 180° r_0,180° r_0,90°

Explanation:

Step1: Recall rotation rules

Rotation of a point (x,y) around origin: \( R_{0, -90^\circ} \) (90° clockwise) gives (y, -x).

Step2: Apply to (0,5)

Using \( R_{0, -90^\circ} \): (0,5) → (5, -0) = (5,0).

Step3: Check other rotations

\( R_{0, 90^\circ} \): (-5,0); \( R_{0, \pm180^\circ} \): (0,-5). None give (5,0).

Answer:

\( R_{0, -90^\circ} \)