Question

select the correct description that describes the transformation from △abc to △a b c. reflection across the y = -x reflection across the y - axis 90° clockwise rotation 270° clockwise rotation

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$: reflection across $y = -x$ gives $(-y,-x)$; reflection across $y$-axis gives $(-x,y)$; 90° clock - wise rotation gives $(y,-x)$; 270° clock - wise rotation gives $(-y,x)$.

Step2: Check vertices transformation

Let's assume a vertex $A(3,1)$ in $\triangle ABC$. In $\triangle A'B'C'$, $A'(-1, - 3)$. If we apply the rule of reflection across $y=-x$ to $(3,1)$, we get $(-1,-3)$.

Answer:

reflection across the y = -x