Question

Which of the following best describes the relationship between ABC and DEF?

AACB=FED
AABC=DEF
AABC=EFD
AABC =DFE

Answer 1

ABC = DEF

Explanation:

Just took the test

Answer 2

`\triangle`ABC
`\cong \triangle`DEF

Explanation:

The diagram shows two triangles ABC and DEF with

• 
  `AB\cong DE;`
• 
  `BC\cong EF;`
• 
  `AC\cong DF;`
• 
  `\angle A\cong \angle D;`
• 
  `\angle B\cong \angle E;`
• 
  `\angle C\cong \angle F.`

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,

`\triangle`ABC
`\cong \triangle`DEF