Triangle def was dilated according to the rule do,(x, y) to create similar triangle d'e'f'.

which statements are true? check all that apply.

∠f corresponds to ∠f'.
segment ee' is parallel to segment ff'.
the distance from point d' to the origin is the distance of point d to the origin.
the measure of ∠e' is the measure of ∠e.
△def △d'e'f'

whats the

A dilation is a transformation, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

Thus, a dilation with centre O and a scale factor of maps the original figure to the image in such a way that the distances from O to the vertices of the image are times the distances from O to the original figure. Also the size of the image are times the size of the original figure. Also the two resulting figures (i.e. the image and the pre-image are congruent)

Thus in the dilation of triangle DEF, the following are true.
∠F corresponds to ∠F'.

The measure of ∠E' is the measure of ∠E.

△DEF ≈ △D'E'F'