Question

reflection across $y = -x$

Explanation:

Step1: Identify original coordinates

Original points: $A(3, -1)$, $S(4, 2)$, $J(4, -3)$, $T(5, -2)$

Step2: Apply reflection rule

For reflection over $y=-x$, use $(x,y)\to(-y,-x)$:

• $A(3,-1)\to -(-1), -3 = (1, -3)$
• $S(4,2)\to -2, -4 = (-2, -4)$
• $J(4,-3)\to -(-3), -4 = (3, -4)$
• $T(5,-2)\to -(-2), -5 = (2, -5)$

Answer:

Reflected coordinates:

• $A'(1, -3)$
• $S'(-2, -4)$
• $J'(3, -4)$
• $T'(2, -5)$