Question

name: francisco
the shape above has the following coordinates: r (5,4), y (7,0) and b (8,6)
rotate the shape 180° clockwise.
what are the coordinates of the image?
r: y: b:
then reflect it over the y - axis.
what are the coordinates of the new image?
r: y: b

Explanation:

Step1: Apply 180 - degree clockwise rotation rule

The rule for a 180 - degree clockwise rotation about the origin $(x,y)\to(-x,-y)$.
For point $R(5,4)$, $R'\to(- 5,-4)$.
For point $Y(7,0)$, $Y'\to(-7,0)$.
For point $B(8,6)$, $B'\to(-8,-6)$.

Step2: Apply reflection over y - axis rule

The rule for reflecting a point over the y - axis is $(x,y)\to(-x,y)$.
For point $R'(-5,-4)$, $R''\to(5,-4)$.
For point $Y'(-7,0)$, $Y''\to(7,0)$.
For point $B'(-8,-6)$, $B''\to(8,-6)$.

Answer:

$R':(-5,-4)$
$Y':(-7,0)$
$B':(-8,-6)$
$R'':(5,-4)$
$Y'':(7,0)$
$B'':(8,-6)$