Question

identify a sequence of rigid transformations that would map abcd→a\b\c\d\. give your answer in the form of a composition transformation mapping (1 point) (x,y)→(x, - y - 4) (x,y)→(-x,y - 4) (x,y)→(-x - 4,y) (x,y)→(x,y + 4)

Explanation:

Step1: Analyze x - coordinates

Original points have x - coordinates like $x_A=-4,x_B=-2,x_C=-1,x_D=-3$. New points have $x_{A''}=4,x_{B''}=2,x_{C''}=1,x_{D''}=3$. The transformation for x - coordinates is $x\to - x$.

Step2: Analyze y - coordinates

Original points have y - coordinates $y_A = 3,y_B=4,y_C = 1,y_D=0$. New points have $y_{A''}=-1,y_{B''}=0,y_{C''}=-3,y_{D''}=-4$. The transformation for y - coordinates is $y\to y - 4$. So the transformation is $(x,y)\to(-x,y - 4)$.

Answer:

$(x,y)\to(-x,y - 4)$