Question:
Which of the following is a true statement?
(a) Two similar triangles are always congruent.
(b) Two figures are similar if they have the same shape and size.
(c) Two triangles are similar if their corresponding sides are proportional.
(d) Two polygons are similar if their corresponding sides are proportional.
Solution:
(c) Two triangles are similar if their corresponding sides are proportional.
According to the statement:
$\triangle A B C \sim \triangle D E F$
if $\frac{A B}{D E}=\frac{A C}{D F}=\frac{B C}{E F}$