Question

graph a 180° clockwise rotation of triangle abc about the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation about the origin for a point $(x,y)$ is $(x,y)\to(-x,-y)$.

Step2: Identify vertices of $\triangle ABC$

Let's assume $A(4,2)$, $B(2,1)$, $C(1,4)$.

Step3: Apply rotation rule to each vertex

For point $A(4,2)$: $A'( - 4,-2)$.
For point $B(2,1)$: $B'( - 2,-1)$.
For point $C(1,4)$: $C'( - 1,-4)$.

Step4: Graph the new triangle

Plot points $A'(-4,-2)$, $B'(-2,-1)$ and $C'(-1,-4)$ and connect them to form the rotated triangle.

Answer:

Graph the triangle with vertices $A'(-4,-2)$, $B'(-2,-1)$ and $C'(-1,-4)$