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Answer :

What class is for ? If you tell me I could take out my notes

Answer:

               Reasons                                         Statements                            

  1. [tex]<BAC\cong<EDC\\[/tex]                                     1. Given
  2. [tex]\overline{BC}\cong\overline{EC}[/tex]                                                2. Given
  3. [tex]<ACB\cong<DCE[/tex]                                    3. All vertical angles are congruent
  4. [tex]\Delta{ABC}\cong\Delta{DEC}[/tex]                                    4. SAS

Step-by-step explanation:

You have to prove the triangle congruent by SSS (side side side), SAS (side angle side), ASA (angle side angle), AAS (angle angle side), and HL (hypotenuse leg). I proved this triangle by SAS because they already told us that < A and < D are congruent and that line BC is congruent to line EC. So I just had to prove that <ACB and <DCE are congruent, and since they are vertical angles they have to be congruent.