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)