Answer:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.
If a point A(x, y) is reflected over the line y = x, the new point is at A'(y, x)
If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)
Since Quadrilateral RAPS is located at the vertices R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected across the line y = x, the new locations are at:
R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)
Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
