Answer:
Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel
Explanation:
The given coordinates of the vertices of the quadrilateral TRAM are;
T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)
By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;
The coordinates of the preimage before rotation = (x, y)
The coordinates of the image after rotation = (y, -x)
Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;
T(-5, 1) → T'(1, 5)
R(-7, 7) → R'(7, 7)
A(-1, 7) → A'(7, 1)
M(-5, 4) → M'(4, 5)
The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.