Answer:
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)
Step-by-step explanation:
The coordinates of he vertices of the triangle QRST are;
Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)
A rotation of a point with coordinates (x, y) 180° about the origin gives;
The coordinate of the point of the preimage before the rotation = (x, y)
The coordinate of the point of the image after the rotation = (-x, -y)
Therefore we have;
The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)
The image of point R(3, -3) after 180° rotation = R'(-3, 3)
The image of point S(0, -2) after 180° rotation = S'(0, 2)
The image of point T(-2, 1) after 180° rotation = T'(2, -1)
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).
