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

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: Analyze transformation rules

The rule $(x,y)\to(x, -y)$ is a reflection over the x - axis. The rule $(x,y)\to(y,x)$ is a reflection over the line $y = x$. The rule $(x,y)\to(-x,-y)$ is a rotation of 180° about the origin. The rule $(x,y)\to(-y,-x)$ is a rotation of 270° counter - clockwise about the origin.

Step2: Observe the graph

By observing the graph of triangle ABC and its image A'B'C', we can see that the triangle is rotated 180° about the origin.

Answer:

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