Question

1. find the coordinates of the vertices of each figure after the given transformation. rotation 270° counterclockwise about the origin. e(0, 2), d(-5, 1), c(-1, 4)

Explanation:

Step1: Recall rotation rule

A $270^{\circ}$ counter - clockwise rotation about the origin has the rule $(x,y)\to(y, - x)$.

Step2: Apply rule to point E

For point E$(0,2)$, substituting $x = 0$ and $y = 2$ into the rule $(x,y)\to(y,-x)$, we get $(2,0)$.

Step3: Apply rule to point D

For point D$(-5,1)$, substituting $x=-5$ and $y = 1$ into the rule $(x,y)\to(y,-x)$, we get $(1,5)$.

Step4: Apply rule to point C

For point C$(-1,4)$, substituting $x=-1$ and $y = 4$ into the rule $(x,y)\to(y,-x)$, we get $(4,1)$.

Answer:

The new coordinates are E$(2,0)$, D$(1,5)$, C$(4,1)$