Why do similar triangles have proportional sides?

triangles are similar (Fig. 1): First, all three pairs of corresponding angles should be congruent (which means. A. B. C. D. E. F. Figure 1: Similar Triangles. the triangles have the “same shape”), and second, the lengths of pairs of corresponding sides should all have the same ratio (which means they have “proportional sizes”). read more

Similar triangles have the same shape, meaning the three angles are the same in both the triangles but the lengths are not. Side of one triangle to the corresponding side of the other triangle will be some multiple. This multiplying factor will be the same for all the three sides. read more

All corresponding sides have the same ratio. Also notice that the corresponding sides face the corresponding angles. For example the sides that face the angles with two arcs are corresponding. Corresponding Sides . In similar triangles, corresponding sides are always in the same ratio. For example: Triangles R and S are similar. read more

Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.. read more