Question

25/26 geometry a reflections which point would map onto itself after a reflection across the line y = -x? (0, -4) (-4, 0) (4, -4) (-4, -4)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = -x$ is $(x,y)\to(-y,-x)$.

Step2: Check each point

For the point $(0, - 4)$: applying the rule $(0,-4)\to(4,0)$.
For the point $(-4,0)$: applying the rule $(-4,0)\to(0,4)$.
For the point $(4,-4)$: applying the rule $(4,-4)\to(4,-4)$.
For the point $(-4,-4)$: applying the rule $(-4,-4)\to(4,4)$.

Answer:

$(4,-4)$