Answer:
[tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF
Step-by-step explanation:
The diagram shows two triangles ABC and DEF with
- [tex]AB\cong DE;[/tex]
- [tex]BC\cong EF;[/tex]
- [tex]AC\cong DF;[/tex]
- [tex]\angle A\cong \angle D;[/tex]
- [tex]\angle B\cong \angle E;[/tex]
- [tex]\angle C\cong \angle F.[/tex]
These triangles are congruent. To write correctly this congruence, the names of the vertices at congruent angles must be at the same places. If you start with vertex A in triangle ABC, then you must start with vertex D in triangle DEF; if the next is vertex B in triangle ABc, then the next must be vertex E in triangle DEF; if the last vertex is C in triangle ABC, then the last must be vertex F in triangle DEF.
Hence,
[tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF
