what are the coordinates of the image of vertex f after a reflection across the line y = -x? (-1, -3) (3…
what are the coordinates of the image of vertex f after a reflection across the line y = -x? (-1, -3) (3, -1) (1, 3) (-3, 1)
Answer
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: Identify original coordinates
The coordinates of vertex F are $(1,-3)$.
Step3: Apply the rule
For point F with $x = 1$ and $y=-3$, we have $-y = 3$ and $-x=-1$. So the new - coordinates are $(3, - 1)$.
Answer:
$(3, - 1)$