Suppose you are hiking along a trail. make a comparison between the magnitude of your displacement and your distance traveled.
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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 <span> 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.</span>
<span>∠F corresponds to ∠F'.
The measure of ∠E' is the measure of ∠E.
△DEF ≈ △D'E'F'</span>
Thus, a dilation with centre O and a scale factor of
Thus in the dilation of triangle DEF, the following are true.</span>
<span>∠F corresponds to ∠F'.
The measure of ∠E' is the measure of ∠E.
△DEF ≈ △D'E'F'</span>
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