Triangle def has vertices d (-4 , 1) e (2, 3), and f (2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of dilation. the dilated triangle is named triangle d'e'f'. what are the coordinates of the vertices of the resulting triangle?

D'(-14,1), E'(4,7), F'(4,1)

Step-by-step explanation:

Triangle DEF with vertices D(-4,1), E(2,3) and F(2,1) is dilated by a factor of 3 using the point O(1, 1) as the center of dilation.

To find the image of vertex D, connect this vertex with the center of dilation, you'll get the segment OD. The length of this segment is 5 units. Plot point D' such that the length of the segment OD' is units (note points D and D' are the same side points from point O, because the scale factor 3 is positive). Hence, point D' has coordinates (-14,1).

To find the image of vertex E, connect this vertex with the center of dilation, you'll get the segment OE. Plot point E' such that the length of the segment OE' is units (points E and E' are the same side points from point O too). Hence, point E' has coordinates (4,7).

To find the image of vertex F, connect this vertex with the center of dilation, you'll get the segment OF. Plot point F' such that the length of the segment OF' is units (points F and F' are the same side points from point O too). Hence, point F' has coordinates (4,1).

one that is bigger than 3 1/2

36

step-by-step explanation: