Reflexive property — Geometry, what it means and where it is taught
Anything is congruent to itself. A shared side is congruent to itself.
Taught in Geometry.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Congruent — Same size and same shape. Written △ ABC ≅ △ DEF.
Practise this idea
2 questions in the course bank use Reflexive property, in How to Write a Proof, Triangle Congruence Proofs.
Problem 1
In a proof, two triangles share a side. What reason lets you say that side is congruent to itself?
Worked answer
reflexive property
BD ≅ BD
That is the reflexive property.
Problem 2
Two triangles share side BD. What reason gives BD ≅ BD?
Worked answer
reflexive property
BD ≅ BD by the reflexive property.