Question

triangle rst has vertices r(1, 1), s(1, 4), and t(3, 1). graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. what are the coordinates of t? (-3, -1) (5,2) (-3,-2) (5,4)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point T

Given point T(3,1), substitute x = 3 and y = 1 into the rule. We get $(-3,-1)$.

Answer:

(-3, -1)