Question

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 (0,0) 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?

Answer 1

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.

What is the scale factor of the dilation of triangle DEF?

Three-tenths **

Three-sevenths

Seven-thirds

7

Explanation:

3/10

Answer 2

D'(-12, 3), E'(6, 9), F'(6, 3)

Explanation:

Every coordinate value is multiplied by the dilation factor when the center of dilation is at the origin.

D' = 3D = 3(-4, 1) = (-12, 3) . . . for example