a parallelogram is transformed according to the rule $(x,y)\to(x,y)$. which is another way to state the…

a parallelogram is transformed according to the rule $(x,y)\to(x,y)$. which is another way to state the transformation?\n$r_{0,90^{circ}}$\n$r_{0,180^{circ}}$\n$r_{0,270^{circ}}$\n$r_{0,360^{circ}}$\n

a parallelogram is transformed according to the rule $(x,y)\to(x,y)$. which is another way to state the transformation?\n$r_{0,90^{circ}}$\n$r_{0,180^{circ}}$\n$r_{0,270^{circ}}$\n$r_{0,360^{circ}}$\n

Answer

Explanation:

Step1: Analyze rotation rules

  • For (R_{0,90^{\circ}}): The rule is ((x,y)\to(-y,x)).
  • For (R_{0,180^{\circ}}): The rule is ((x,y)\to(-x,-y)).
  • For (R_{0,270^{\circ}}): The rule is ((x,y)\to(y, -x)).
  • For (R_{0,360^{\circ}}): Rotating a point ((x,y)) by (360^{\circ}) around the origin ((0,0)) gives ((x,y)) since a full - circle rotation brings the point back to its original position.

Answer:

(R_{0,360^{\circ}})