Question

1. which transformation is shown by the coordinates below? l(-1, 9) m(-8, 8) n(-3, 5) l(-9, -1) m(-8, -8) n(-5, -3) a. reflection over the x - axis b. translation 8 units left and 8 units down c. rotation 90° clockwise d. rotation 270° clockwise

Explanation:

Step1: Recall rotation rules

For a 90 - degree clockwise rotation of a point $(x,y)$ about the origin, the new point is $(y, - x)$. For a 270 - degree clockwise rotation of a point $(x,y)$ about the origin, the new point is $(-y,x)$.

Step2: Check point L

For point $L(-1,9)$, for a 270 - degree clockwise rotation, $x=-1$ and $y = 9$, and the new point is $(-y,x)=(-9,-1)$ which is $L'$.

Step3: Check point M

For point $M(-8,8)$, for a 270 - degree clockwise rotation, $x=-8$ and $y = 8$, and the new point is $(-y,x)=(-8,-8)$ which is $M'$.

Step4: Check point N

For point $N(-3,5)$, for a 270 - degree clockwise rotation, $x=-3$ and $y = 5$, and the new point is $(-y,x)=(-5,-3)$ which is $N'$.

Answer:

D. Rotation 270° clockwise