Question

the rule r_y - axis ∘ r_0, 90°(x, y) is applied to △abc. which triangle shows the final image? o 1 o 2 o 3 o 4

Explanation:

Step1: First, perform rotation

The rotation rule $R_{0,90^{\circ}}(x,y)=(-y,x)$. Apply this to each vertex of $\triangle ABC$.

Step2: Then, perform reflection

The reflection rule $r_{y - axis}(x,y)=(-x,y)$. Apply this to the result of the rotation.

Step3: Analyze the final - image

After performing the rotation and reflection in order, compare the resulting triangle with the given options.

Answer:

(Without seeing the actual options' details, we can't give a specific letter - option. But the process above is how to find the answer.)