Question

Which reason can be used to fill in the numbered blank space?

1) By the Reflexive Property of Equality
2) By the Corresponding Parts of Similar Triangles
3) By the Converse of the Corresponding Angles Postulate
4) By the Given Ratio of Line Segments

Answer 1

The reason that can be used to fill in the blank is the Corresponding Parts of Similar Triangles.

Step-by-step explanation:

The reason that can be used to fill in the numbered blank space is 2) By the Corresponding Parts of Similar Triangles. The Corresponding Parts of Similar Triangles states that if two triangles are similar, then their corresponding angles are congruent and their corresponding sides are proportional. This property can be used to prove that the given lines segments are in the given ratio.