Quadrilateral A:
If we reflect Quadrilateral A over the x-axis, the y-coordinates will have a reverse sign. So, the coordinates of Quadrilateral-2 B will be: (-2, 1), (-6, 1), (-3, 5), and (-6, 3).
If we slide Quadrilateral B 8 units to the right and 5 units down, we will be adding 8 on the x-coordinate and subtracting 5 on the y-coordinates of Quadriteral B.
Hence, the graph of Quadrilateral C is found here:
If we rotate Quadrilateral B by 90 degrees clockwise about point (-2, 1), the coordinates will become: (-2, 1), (-2, 5), (2, 2), and (0, 5). Here is the graph:
What we are doing on the Quadrilaterals above are reflection, translation, and rotation in that order. This transformations are called rigid transformation. When performing rigid transformation, the shape will stay in the same size. (7)
On the other hand, another form of transformation is dilation. Dilation is non-rigid transformation. Hence, when we dilate a figure, the size of the shape changes.
If we dilate a figure by a scale factor greater than one, the shape will get bigger. (5)
If we dilate a figure by a scale factor smaller than one, the shape will get smaller. (6)