Answer:
The answer is below
Step-by-step explanation:
From the image attached, the coordinates of point A is at (2, -4).
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 x axis, the new point is at A'(x, -y)
If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)
If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)
If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)
Hence:
For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)
For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)
For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)
For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).
Step-by-step explanation:
