triangle abc is rotated to create the image abc. which rule describes the transformation? (x, y)→(x, -y) (x…

triangle abc is rotated to create the image abc. which rule describes the transformation? (x, y)→(x, -y) (x, y)→(y, x) (x, y)→(-x, -y) (x, y)→(-y, -x)

triangle abc is rotated to create the image abc. which rule describes the transformation? (x, y)→(x, -y) (x, y)→(y, x) (x, y)→(-x, -y) (x, y)→(-y, -x)

Answer

Explanation:

Step1: Identify a point and its image

Let's take point A(1, - 1). Its image is A'(-1, 1).

Step2: Check the transformation rules

For the rule ((x,y)\to(x, - y)), if (x = 1,y=-1), then ((1,-1)\to(1,1)) which is incorrect. For the rule ((x,y)\to(y,x)), if (x = 1,y=-1), then ((1,-1)\to(-1,1)) which is incorrect. For the rule ((x,y)\to(-x,-y)), if (x = 1,y = - 1), then ((1,-1)\to(-1,1)) which is correct. For the rule ((x,y)\to(-y,-x)), if (x = 1,y=-1), then ((1,-1)\to(1,-1)) which is incorrect.

Answer:

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