Question

reflecting a shape over the line y = -x results in: a. a scaled shape b. a rotated shape c. a shape with doubled coordinates d. a shape with swapped and negated coordinates

Explanation:

When reflecting a point $(x,y)$ over the line $y = -x$, the transformation rule is $(x,y)\to(-y,-x)$. This means the $x$ - and $y$-coordinates are swapped and negated. The same applies to all points of a shape, so the shape has its coordinates swapped and negated.

Answer:

d. a shape with swapped and negated coordinates