Question

In the figure below, for the triangle ABC and triangle DEF, the corresponding sides are porportional in length so (AB/DE)= (BC/EF)= (AC/DF). Which statement best describes the relationship between these two triangles?

A.) They are similar triangles.


B.) They are neither similar nor congruent triangles.


C.) They are not similar triangles.


D.) They are congruent but not similar triangles.

Answer 1

A.) They are similar triangles.

Explanation:

Similar triangles have congruent corresponding angles (as marked in the figure) and proportional corresponding sides (as described by the problem statement). The triangles ABC and DEF are similar.

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In order for the triangles to be congruent, corresponding sides must be congruent. That is, the constant of proportionality AB/DE must be exactly 1.