Using translation concepts, we have that:
- The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.
- The y-coordinates in the image are the same as the x-coordinates of the pre-image.
- Therefore, the triangle was rotated clockwise 270º about the origin.
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.
In this problem, the vertices of the pre-image are given as follows:
D(-5,2), E(1,5), F(0,-1).
The vertices of the transformed image are given by:
D'(-2, -5), E'(-5,1), F(1,0).
From this, we the rule is given by:
(x,y) -> (-y,x).
Which is equivalent to the rotation rule of a rotation of 270º clockwise.
Hence:
- The x-coordinates in the image are the opposite of the y-coordinates in the pre-image.
- The y-coordinates in the image are the same as the x-coordinates of the pre-image.
- Therefore, the triangle was rotated clockwise 270º about the origin.
More can be learned about translation concepts at https://brainly.com/question/4521517
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