Question

1. rotate the triangle 270° counterclockwise about the origin.

Explanation:

Step1: Identify the coordinates of A and B

From the graph, the coordinates of point A are $(1,6)$ and of point B are $(3,1)$.

Step2: Apply the rotation rule for 270 - degree counter - clockwise rotation about the origin

The rule for a 270 - degree counter - clockwise rotation about the origin is $(x,y)\to(y, - x)$.
For point A$(1,6)$:
Substitute $x = 1$ and $y = 6$ into the rule. We get $A'(6,-1)$.
For point B$(3,1)$:
Substitute $x = 3$ and $y = 1$ into the rule. We get $B'(1,-3)$.

Answer:

The coordinates of $A'$ are $(6,-1)$ and the coordinates of $B'$ are $(1,-3)$.