Question

monday
reflect △uvw over the y - axis.
v(-1, 4)
w(1, 2)
u(-2, 1)
tuesday
point f(-17,8) is rotated 180° about the origin. what are the coordinates of image f?

Explanation:

Step1: Reflect point U over y-axis

For a point $(x,y)$, reflection over y-axis is $(-x,y)$.
$U(-2,1) \to U'(2,1)$

Step2: Reflect point V over y-axis

Apply y-axis reflection rule.
$V(-1,4) \to V'(1,4)$

Step3: Reflect point W over y-axis

Apply y-axis reflection rule.
$W(1,2) \to W'(-1,2)$

Step4: Rotate point F 180° about origin

For a point $(x,y)$, 180° rotation about origin is $(-x,-y)$.
$F(-17,8) \to F'(17,-8)$

Answer:

Reflected triangle vertices: $U'(2,1)$, $V'(1,4)$, $W'(-1,2)$
Coordinates of $F'$: $(17,-8)$