Question

80pts

1 point
A polygon undergoes a combined transformation of T3, 2) (Ro, 90'). The vertex (5. 2) of the polygon maps to what final image?
O (-4,8)
O (-2,5)
(1,7)
O (5,-3)

Answer 1

To find the final image of the vertex (5, 2) after a combined transformation of T3, 2) (Ro, 90'), apply the translation and rotation step by step. The final image of the vertex is (-4, 8).

Step-by-step explanation:

To find the final image of the vertex (5, 2) after a combined transformation of T3, 2) (Ro, 90'), we need to apply the given transformations step by step.

1. First, apply the translation T(3, 2) by adding the given values to the x and y coordinates of the vertex. (5+3, 2+2) = (8, 4)
2. Next, apply the rotation R(0, 90°) by rotating the vertex 90 degrees counter-clockwise about the origin. (8, 4) rotates to (-4, 8).

Therefore, the final image of the vertex (5, 2) after the combined transformation is (-4, 8).