Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected across the x axis, the new location is at A'(x, -y).
If a point A(x, y) is rotated 90° clockwise about the origin, the new location is at A'(y, -x).
If a point A(x, y) is translated a units left and b units up, the new location is at A'(x-a, y+b).
From the image attached, the location of triangle DEF is D(2, 6), E(2,3) and F(5, 3).
If △DEF is reflected across the x-axis, the resulting image △D'E'F' is at D'(2, -6), E'(2, -3) and F'(5, -3).
If △D'E'F' is rotated 90° clockwise about the origin, the resulting image △D''E''F'' is at D''(-6, -2), E''(-3, -2) and F''(-3, -5).
If △D''E''F'' is translated by (x,y)→(x-2,y+2), the resulting image △D'''E'''F''' is at D'''(-8, 0), E'''(-5, 0) and F'''(-5, -3).
