Question

graph the image of δtuv after a rotation 270° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Identify coordinates of vertices

For point $T(0,4)$, applying the rule: $(0,4)\to(4,0)$.
For point $U(8,4)$, applying the rule: $(8,4)\to(4,-8)$.
For point $V(0,9)$, applying the rule: $(0,9)\to(9,0)$.

Step3: Graph new triangle

Plot the points $(4,0)$, $(4, - 8)$ and $(9,0)$ and connect them to form the new triangle.

Answer:

Plot the points $T'(4,0)$, $U'(4,-8)$ and $V'(9,0)$ and draw $\triangle T'U'V'$.