determine a series of transformations that would map polygon abcde onto polygon abcde. a followed by a
determine a series of transformations that would map polygon abcde onto polygon abcde. a followed by a
Answer
Explanation:
Step1: Analyze horizontal shift
Count the number of units polygon $ABCDE$ needs to move horizontally to align with $A'B'C'D'E'$. We can see that it needs to move 13 units to the left. A translation of $(x,y)\to(x - 13,y)$ will shift the polygon horizontally.
Step2: Analyze rotation
After the translation, we observe that the polygon needs to be rotated 180° about the origin. A 180 - degree rotation about the origin has the rule $(x,y)\to(-x,-y)$.
Answer:
A translation 13 units to the left followed by a 180 - degree rotation about the origin.