Question

Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.Questions

Answer 1

The given coordinates of the vertices of the figure are:

`R(3,4),S(10,4),T(10,8),U(3,8)`

Recall the coordinate rule for 90⁰ counterclockwise rotation around the origin:

`(x,y)\rightarrow(-y,x)`

Apply this rule to the first vertex, R(3,4):

`\begin{gathered} R(3,4)\rightarrow R^(\prime)(-4,3) \\ \Rightarrow R^(\prime)=(-4,3) \end{gathered}`

Apply this rule to the other vertices to get:

`\begin{gathered} S^(\prime)=(-4,10) \\ T^(\prime)=(-8,10) \\ U^(\prime)=(-8,3) \end{gathered}`

Answers:

R'=(-4,3)

S'=(-4,10)

T'=(-8,10)

U'=(-8,3)