Question

ma.8.u7 test25-26

1. the coordinate grid shows parallelogram pqrs.

parallelogram pqrs is rotated 270° counter-clockwise about the origin to create parallelogram pqrs.
which rule describes this transformation?
a. $(x,y)\to(x,-y)$
b. $(x,y)\to(-x,y)$
c. $(x,y)\to(y,x)$
d. $(x,y)\to(y,-x)$

Explanation:

Step1: Recall 270° CCW rotation rule

A 270° counter-clockwise rotation about the origin transforms a point $(x,y)$ to $(y,-x)$.

Step2: Match to given options

Compare the rule to the choices: Option D states $(x,y)\to(y,-x)$, which matches.

Answer:

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