Question

question #2 * 1 point 40. the vertices of triangle rst are located at r(-6,4), s(-2,5), and t(0,1). which coordinates are the vertices of image rst after rst has been rotated 90° counter - clockwise about the origin? a r(6,4), s(2, - 5), and t(0, - 1) b r(4,6), s(-5,2), and t(-1,0) c r(-4,6), s(5,2), and t(0, - 1) d r(-4, - 6), s(-5, - 2), and t(-1,0) o a o b o c o d

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Rotate point R

For point $R(-6,4)$, applying the rule: $x=-6,y = 4$, then $R'=(-4,-6)$.

Step3: Rotate point S

For point $S(-2,5)$, with $x=-2,y = 5$, then $S'=(-5,-2)$.

Step4: Rotate point T

For point $T(0,1)$, with $x = 0,y=1$, then $T'=(-1,0)$.

Answer:

D. $R'(-4,-6),S'(-5,-2),T'(-1,0)$