Question

triangle abc has vertices a(-1, 3), b(2, 6), and c(8, 4). triangle abc is rotated 270° clockwise about the origin. the result is triangle abc. write the coordinates of a, b, and c.

Explanation:

Step1: Recall rotation rule

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

Step2: Find coordinates of A'

For point A(-1,3), applying the rule: $x=-1,y = 3$, so $A'=(3,1)$.

Step3: Find coordinates of B'

For point B(2,6), applying the rule: $x = 2,y=6$, so $B'=(6,-2)$.

Step4: Find coordinates of C'

For point C(8,4), applying the rule: $x = 8,y = 4$, so $C'=(4,-8)$.

Answer:

$A'(3,1),B'(6,-2),C'(4,-8)$