Question

The preimage was (-5, -4) and after the rotation, the image was (4, 5). What many degrees counterclockwise did the point rotate? a. none of the aboveb. 180 c. 90 d. 270

Answer 1

In determining the degrees counterclockwise did the point rotate from (-5,-4) to (4,5), let's first identify how the point changes from (-5,-4) to (4,5).

We get,

$\text{ (-5, -4) }\rightarrow\text{ (4, 5) : A(x, y) }\rightarrow\text{ A'(-y, -x)}$

In transformation using rotation, the common rotations are the following,

$\text{ }90^{\circ}\text{ }counterclockwise\text{ }\rightarrow\text{ A(x,y) = A'(}-y,x)$$270^{\circ}counterclockwise\rightarrow A(x,y)=A^{\prime}(y,-x)^{}$$undefined$