By the figure, we can know BC ≅ DA, BA≅DC, AC≅CA
So because: BC ≅ DA (Given)
BA ≅ DC (Given)
AC ≅ CA (Reflexive property of segment congruence)
So ΔBAC ≅ ΔDCA (SSS Congruence Theorem)
1. Given: In geometry, the Given statement indicates information or conditions that are provided or assumed true without proof.
2. Reflexive Property of Segment Congruence: This property states that any geometric segment is congruent to itself.
3. SSS Congruence Theorem (Side-Side-Side): This theorem asserts that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
These theorems are fundamental concepts in geometry used to establish congruence between triangles based on given conditions and properties.