Question

Which statement is always true if the image of DEF after a dilation of k, centered at the origin is DQR and D1003

Answer 1

a) FE ║ QR

1) The triangle DQR, the image of the pre-image DEF is a similar triangle, with the same angles and proportional sides to DEF.

2) Having said that, since we don't know the scale factor or the side lengths. Or the angles of those triangles. And we know that similar triangles are not congruent. We can only state that:

FE ║ QR

Because of the similarity between those two triangles, assure us that as a consequence these sides will remain parallel.