Question

(x, y) → (opposite of y, x) change the y and flip
the shape above has the following
rotate the shape 180° counter - clock
what are the coordinates of the im
r: y: b:
r: y: b:

Explanation:

1. First, recall the rule for a 180 - degree counter - clockwise rotation:

• The rule for rotating a point \((x,y)\) 180 degrees counter - clockwise about the origin is \((x,y)\to(-x,-y)\).

1. Assume the coordinates of point \(R\) are \((x_R,y_R)\), \(Y\) are \((x_Y,y_Y)\) and \(B\) are \((x_B,y_B)\):

• For point \(R\), after a 180 - degree counter - clockwise rotation, the new coordinates \(R'\) will be \((-x_R,-y_R)\).
• For point \(Y\), after a 180 - degree counter - clockwise rotation, the new coordinates \(Y'\) will be \((-x_Y,-y_Y)\).
• For point \(B\), after a 180 - degree counter - clockwise rotation, the new coordinates \(B'\) will be \((-x_B,-y_B)\).
• However, since the original coordinates of \(R\), \(Y\), and \(B\) are not given in the problem, we can only state the general rule. If we assume \(R=(a,b)\), \(Y=(c,d)\), \(B=(e,f)\):
• \(R'=(-a,-b)\).
• \(Y'=(-c,-d)\).
• \(B'=(-e,-f)\).

Answer:

Since the original coordinates of \(R\), \(Y\), and \(B\) are not provided, if the original coordinates of \(R=(x_R,y_R)\), \(Y=(x_Y,y_Y)\), \(B=(x_B,y_B)\), then \(R'=(-x_R,-y_R)\), \(Y'=(-x_Y,-y_Y)\), \(B'=(-x_B,-y_B)\)