+290 The vertices of \(\triangle XYZ \) are \(X(-4,7)\), \(Y(0,8)\), and \(Z(2,-1)\)
a. What are the vertices of \(r_{(180^ \cdot,O)}\)\(( \triangle XYZ)\)?
b. What are the vertices of \(r_{(270^ \cdot,O)}\)\(( \triangle XYZ)\)?
( O is the origin )
+129850 I'm not sure of the notation, but I believe that the first is a 180° rotation about the origin
180° rotation (x,y) → (-x, -y)
New coordinates X = (4,-7) Y = (0, -8) Z =( -2, 1)
Second one is a 270° rotation about the origin = -90° rotation about the origin
-90° rotation (x, y) = (-y, x)
New coordinates X = (-7, -4) Y = (-8,0) Z = ( 1, 2)
