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Tue 6 Sep, 2005 04:58 pm
Triangle A'B'C' is the image of ΔABC under a dilation such that
A'B' = 3AB. Triangles ABC and A'B'C' are
(1) congruent but not similar
(2) similar but not congruent
(3) both congruent and similar
(4) neither congruent nor similar
Think about this a minute.
A dilation does nothing to the vertex angles of a polygon. A dilation is a expansion or contraction of the sides of a polygon. So now you need to look at the definitions of congruent polygons (all angles and sides identical) and similiar polygon (all angles identical) to answer the question.
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Thank you for the great tip.
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