Respuesta :
Coordinates of the points that are vertices of the image which are, A'(-5, 4), B'(3, 4), C'(3, 1), D'(-5, 1), gives the pre-image points as the options;
- (-1, 1), (7, 1), (7, -2), (-1, -2)
How can the pre-image points be found from points on the image?
The coordinates of the vertices of the image of rectangle ABCD, obtained from a similar question are;
A'(-5, 4), B'(3, 4), C'(3, 1), D'(-5, 1)
The transformation is T(-4, 3)
The transformation to give the pre-image from the image is therefore;
- T(4, -3)
The coordinates of the pre-image are therefore;
A'(-5, 4) T(4, -3) → A(-5 + 4, 4 - 3) = A(-1, 1)
B'(3, 4) T(4, -3) → B(3 + 4, 4 - 3) = B(7, 1)
C'(3, 1) T(4, -3) → C(3 + 4, 1 - 3) = C(7, -2)
D'(-5, 1) T(4, -3) → D(-5 + 4, 1 - 3) = D(-1, -2)
The vertices of rectangle ABCD are therefore;
- A(-1, 1), B(7, 1), C(7, -2), D(-1, -2)
The points that are vertices of the pre-image are therefore;
- (-1, 1), (7, 1), (7, -2), (-1, -2)
Learn more about translation transformation here:
https://brainly.com/question/11468584
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