D'(-4,6), E'(-6,-6) and F' (8, -4).
1) Given that we have a geometric transformation, called dilation whose center is at the origin, with a scale factor of 2. Let's firstly locate the points of that triangle D (-2,3), E (-3,-3), F (4,-2)
2) Since the Scale factor (k) is 2 then we can write the following table:
Pre-Image Image
D (-2,3) 2(-2,3) D' (-4,6)
E (-3,-3) 2(-3,-3) E' (-6,-6)
F (4,-2) 2(4,-2) F' (8,-4)
3) So we can state that the dilated triangle D'E'F' has these vertices
D'(-4,6), E'(-6,-6) and F' (8, -4).