Question

two triangles are considered ____ if their corresponding angles are equal and their corresponding sides are proportional.
two triangles are ____ if all corresponding sides and angles are equal.
the ____ theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
two triangles are considered similar if their corresponding angles are ____ and their corresponding sides are proportional.
the criteria used to prove triangle similarity include ____, sas, and sss.
two triangles are congruent if all corresponding sides and ____ are equal.
the congruence postulates include sss, sas, asa, and ____.

Explanation:

1. First Question

The definition of similar triangles is that their corresponding angles are equal and corresponding sides are proportional. So the word to fill is "similar".

When all corresponding sides and angles of two triangles are equal, the triangles are congruent. This is the definition of congruent triangles.

The theorem that in a right - triangle, the square of the hypotenuse ($c$) is equal to the sum of the squares of the legs ($a$ and $b$), i.e., $c^{2}=a^{2}+b^{2}$, is the Pythagorean Theorem.

Answer:

similar

2. Second Question