Question

graph the image of △lmn after a rotation 90° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation around the origin is $(x,y)\to(y, - x)$.

Step2: Find coordinates of point N

Point N has coordinates $(- 8,1)$. After rotation, $x=-8,y = 1$, and the new coordinates are $(1,8)$.

Step3: Find coordinates of point L

Point L has coordinates $(-4,1)$. After rotation, $x=-4,y = 1$, and the new coordinates are $(1,4)$.

Step4: Find coordinates of point M

Point M has coordinates $(-4,10)$. After rotation, $x=-4,y = 10$, and the new coordinates are $(10,4)$.

Step5: Graph the new triangle

Plot the points $(1,8)$, $(1,4)$ and $(10,4)$ and connect them to form $\triangle L'M'N'$.

Answer:

Graph the points $(1,8)$, $(1,4)$ and $(10,4)$ and connect them to get the image of $\triangle LMN$ after a 90 - degree clockwise rotation around the origin.