Question

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.-10-8-6-4-2246810-10-8-6-4-2246810xyEFGHE'=,F'=,G'=,H'=,SubmitQuestions

Answer 1

We have a quadrilateral given by the following vertices:

• E = (1, -4),

,

• F = (10, -4),

,

• G = (10, 0),

,

• H = (1,0).

A rotation of the coordinates of the vertices in 270° counterclockwise around the origin, is equivalent to the following transformation of the coordinates:

$P=(x,y)\rightarrow P^{\prime}=(y,-x).$

Applying this transformation to the points above, we get:

• E' = (-4,-1),

,

• F' = (-4,-10),

,

• G' = (0,-10),

,

• H' = (0,-1).

Answer

• E' = (-4,-1),

,

• F' = (-4,-10),

,

• G' = (0,-10),

,

• H' = (0,-1).

Verification