Question

the coordinates of the vertices of a triangle are f (6,1), e (6,3), and c (-2,6). the figure is rotated 270° counterclockwise with the origin as the center of rotation to create triangle fec. what are the coordinates of the vertices of triangle fec? f = e =

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 $F'$

For point $F(6,1)$, applying the rule: $x = 6,y = 1$, so $F'(1,-6)$.

Step3: Find coordinates of $E'$

For point $E(6,3)$, applying the rule: $x = 6,y = 3$, so $E'(3,-6)$.

Step4: Find coordinates of $C'$

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

Answer:

$F'=(1,-6)$
$E'=(3,-6)$
$C'=(6,2)$