We want to write a flow proof of the Reflexive Property of Triangle Congruence. Before we do that, let's recall what we know about flow proofs.
A flow proof uses statements written in boxes and arrows to show the logical progression of an argument. The reason justifying each statement is written below the box.
Given:& △ ABC
Prove:& △ ABC ≅ △ ABC
Let's now recall the two following congruence properties of angles and segments.
Reflexive Property of Angle Congruence: any angle is congruent to itself.
Reflexive Property of Angles Congruence: any segment is congruent to itself.
We can now apply these properties to all the segments and all the angles in triangle ABC. We will write the results in two separate boxes.
Corresponding angles and corresponding segments in △ ABC are congruent. By the definition of congruent triangles, we can conclude that △ ABC is congruent to itself.
