Question

the rule r -axis o r0,90°(x,y) is applied to △abc. which triangle shows the final image? 1 2 3 4

Explanation:

Step1: Recall rotation rule

The rule $R_{0,90^{\circ}}(x,y)$ means a 90 - degree counter - clockwise rotation about the origin. The transformation rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Analyze the rotation of $\triangle ABC$

When we apply the 90 - degree counter - clockwise rotation about the origin to $\triangle ABC$, we transform each vertex of the triangle using the rule $(x,y)\to(-y,x)$. By observing the grid and applying the rotation rule to the vertices of $\triangle ABC$, we can see that the final image is the triangle labeled 1.

Answer:

1