Question

PLS HELP VERY CONFUSED!! AABC has vertices at (-4, 4), (0,0) and (-5,-2). Find the coordinates of points A, B and C after a reflection across y = -x.​

Answer 1

A' = (-4, 4)

B' = (0, 0)

C' = (2, 5)

Explanation:

When a point is reflected across the line y = -x, the x-coordinate becomes -y, and the y-coordinate becomes -x. Therefore, the mapping rule is:

• (x, y) → (-y, -x)

Given vertices of triangle ABC:

• A = (-4, 4)
• B = (0, 0)
• C = (-5, -2)

Therefore, if we reflect the given points across the line y = -x, the coordinates of the reflected points are:

`\begin{aligned}& \sf A = (-4, 4)& \implies\;\; \sf A'& =\sf (-4,-(-4))=(-4,4)\\& \sf B = (0, 0) &\implies\;\; \sf B' &= \sf (-0, -0)=(0,0)\\& \sf C = (-5, -2)& \implies\;\; \sf C' &= \sf (-(-2),-(-5))=(2,5)\end{aligned}`