Using translation concepts, the vertices of the triangle after the rotation are given as follows:
G'(2,-2), E'(5,-4), F'(5,-1).
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90º counterclockwise rotation around the origin is:
(x,y) -> (-y,x).
Hence the vertices should be given by:
- E': (-4,-5) -> (5,-4). (here you committed a mistake, should be one left and one up to where you positioned).
- F': (-1,-5) -> (5,-1). (here you committed a mistake).
The correct translation is graphed at the end of the question. You are doing a good job, just there was two small mistakes on the rule :).
More can be learned about translation concepts at https://brainly.com/question/4521517
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