Question

triangle jkl is transformed using the rule $r_{0,360^{circ}}r_{y = -x}(x,y)$. point k of the pre - image is at (4,7). what are the coordinates of point k on the final image? (-7,-4) (-4,-7) (4,-7) (4,7)

Explanation:

Step1: Analyze the transformation rule

The rule $R_{0,360^{\circ}}(x,y)=(x,y)$ means a rotation of $360^{\circ}$ about the origin. A $360 - degree$ rotation about the origin is equivalent to no - transformation.

Step2: Apply the rule to the point

Given point $K(4,7)$, applying the rule $R_{0,360^{\circ}}(4,7)=(4,7)$

Answer:

$(4,7)$