Question

Triangle DEF was dilated according to the rule DO,(x,y) to create similar triangle D'E'F'.

Answer 1

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 $\frac{1}{3}$ maps the original figure to the image in such a way that the distances from O to the vertices of the image are $\frac{1}{3}$ times the distances from O to the original figure. Also the size of the image are $\frac{1}{3}$ 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'

Answer 2

Answer:

∠F corresponds to ∠F'.

The distance from point D' to the origin is the distance of point D to the origin.

△DEF △D'E'F'

Step-by-step explanation:

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