Answer:
X’ is (3,3) and Y’ is (-3,-4)
Step-by-step explanation:
Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees
X (-3, 1 ) and Y (4,-5)
Using the translation we have
(-3, 1 + 2) and (4, -5 + 2)
= (-3,3) and (4 , -3)
Rotation about the origin, we have
(x , y) = (y , -x)
So the new set of points will be:
(3,3) and (-3, -4)
Transformation involves changing the position of a point or line or shape.
See attachment for the graph of X"Y"
The endpoints are given as:
[tex]\mathbf{X = (-3,1)}[/tex]
[tex]\mathbf{Y = (4,-5)}[/tex]
A translation of [tex]\mathbf{(x,y) \to (x,y+2)}[/tex] means that:
[tex]\mathbf{X' = (-3,1+2)}[/tex]
[tex]\mathbf{X' = (-3,3)}[/tex]
[tex]\mathbf{Y' = (4,-5 + 2)}[/tex]
[tex]\mathbf{Y' = (4,-3)}[/tex]
A 90 degrees rotation about the origin is:
[tex]\mathbf{(x,y) \to (y, -x)}[/tex]
So, we have:
[tex]\mathbf{X" = (3, 3)}[/tex]
[tex]\mathbf{Y" = (-3, 4)}[/tex]
See attachment for the graph of X"Y"
Read more about transformation at:
https://brainly.com/question/13801312
