Question

which of the following statements is true for similar triangles?
a. only one angle is congruent
b. all sides are equal
c. corresponding angles are congruent and sides are proportional
d. none of the sides are proportional

Explanation:

Similar triangles have the property that their corresponding angles are congruent and their corresponding sides are proportional. Option a is incorrect as more than one angle needs to be congruent (by AA similarity criterion, two angles congruent is enough but not just one). Option b is for congruent triangles (where sides are equal in length, not just proportional). Option d is wrong as sides are proportional. Option c correctly states the property of similar triangles.

Answer:

c. Corresponding angles are congruent and sides are proportional