Question

1. rotation: 90° clockwise about the origin

Explanation:

Step1: Recall rotation rule

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

Step2: Identify original vertices

Let's assume the vertices of the triangle are $A(-4,4)$, $B(-3,0)$ and $C(-1,2)$.

Step3: Apply rotation rule to vertex A

For $A(-4,4)$, using the rule $(x,y)\to(y, - x)$, we get $A'(4,4)$.

Step4: Apply rotation rule to vertex B

For $B(-3,0)$, using the rule $(x,y)\to(y, - x)$, we get $B'(0,3)$.

Step5: Apply rotation rule to vertex C

For $C(-1,2)$, using the rule $(x,y)\to(y, - x)$, we get $C'(2,1)$.

Answer:

The new vertices of the rotated triangle are $(4,4)$, $(0,3)$ and $(2,1)$.