Dilation geometry

Question

Graph the dilated image of Triangle ABC using a scale factor of 2/3 and a center of dilation (1,2)

A(-2,-1) B(10,2) C(4,8)

Answer 1

Using the center of dilation as the "new origin", Point A (formerly at (-2, -1) is now at (-3, -3) and applying the dilation scale factor (multiplying each coordinate by 2/3), that becomes (-2, -2) from the center of dilation. Converting that back to the regular coordinate system makes it the point A': (-1, 0)

Using the center of dilation as the "new origin", Point B (formerly at (10, 2) is now at (9, 0) and applying the dilation scale factor (multiplying each coordinate by 2/3), that becomes (6, 0) from the center of dilation. Converting that back to the regular coordinate system makes it the point B': (7, 2)

Using the center of dilation as the "new origin", Point C (formerly at (4, 8) is now at (3, 6) and applying the dilation scale factor (multiplying each coordinate by 2/3), that becomes (2, 4) from the center of dilation. Converting that back to the regular coordinate system makes it the point C': (3, 6)