Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. for ( r_{y = x} ) ( p(x, y)---->p(x, y) ) ( p(x, y)---->p(-y, -x) ) …

Question

  1. for ( r_{y = x} )

( p(x, y)---->p(x, y) )

( p(x, y)---->p(-y, -x) )

( p(x, y)---->p(y, x) )

( p(x, y)---->p(-x, -y) )

Explanation:

Step1: Recall the rule for reflection over the line \(y = x\)

When a point \(P(x,y)\) is reflected over the line \(y=x\), the \(x\) - coordinate and \(y\) - coordinate are swapped.

Answer:

C. \(P(x,y)\to P'(y,x)\)