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Aletocabens
Rotation is a given a rigid motion or transformation which refers to movement of a figure around a center of rotation. 

In this exercise is given the points representing the vertices of a rectangle and it is asked to find its new coordinates after a rotation of 180° about the origin, which means a rotation in the direction the hands of a clock rotate or move.

In this exercise it is asked to find the coordinates of the new vertices after the 180 degrees rotation, which is define or represented by the rule (x,y)--(-x,-y).

To find the vertices of the image rectangle, you should substitute the points of the pre-image into the previous mention rule.

Pre-Image          Image
 E(-2,1) ----------  E'(2,-1) 
 F(-4,1) ----------  F'(4,-1)
 G(-4,-2) ---------  G'(4,2)
 H(-2,-2) ---------  H'(2,2)

The coordinate of point G after a rotation of 180° is (4,2).



lhmarianateixeira

In this exercise we must use the concept of rotation of a geometric figure to identify the movement of the rectangle, in this way we can say that:

The coordinate of point G after a rotation of 180° is (4,2).

We can remember about rotation as:

  • Rotation is a given a rigid motion or transformation which refers to movement of a figure around a center of rotation.

In this exercise it is asked to find the coordinates of the new vertices after the 180 degrees rotation, which is define or represented by the rule:

[tex] (x,y)-(-x,-y)[/tex]

In this way, it will be the same thing as saying that the points are the same but with different signs.

See more about rotation at brainly.com/question/1571997