Question

figure pqr is transformed using the rule (x, y) → (-y, x). which coordinate would be found on the transformed figure pqr? (hint: write your original coordinates, the then apply the rule.) (-5,3) (2,-3) (2,5) (3,-2)

Explanation:

Step1: Assume a point on PQR

Let's assume a point $(x,y)$ on the original figure $PQR$.

Step2: Apply the transformation rule

The transformation rule is $(x,y)\to(-y,x)$.

Step3: Check each option

For option A: If $(-y,x)=(-5,3)$, then the original point $(x,y)=(3,5)$ and applying the rule gives $(-5,3)$.
For option B: If $(-y,x)=(2, - 3)$, then the original point $(x,y)=(-3,2)$ and applying the rule gives $(-2,-3)$.
For option C: If $(-y,x)=(2,5)$, then the original point $(x,y)=(5,2)$ and applying the rule gives $(-2,5)$.
For option D: If $(-y,x)=(3,-2)$, then the original point $(x,y)=(-2,3)$ and applying the rule gives $(-3,-2)$.

Answer:

A. (-5,3)