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Question
what does it mean if the sides of two triangles are proportional? a. the triangles have equal perimeters. b. the triangles are equal in area. c. the triangles are congruent. d. the triangles are similar.
If the sides of two triangles are proportional, by the definition of similar - triangles, the triangles are similar. Similar triangles have corresponding angles equal and corresponding sides in proportion. Congruent triangles require equal - length sides (not just proportional), equal perimeter means all side - lengths are exactly the same, and equal area does not follow from just proportional sides.
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d. The triangles are similar.