Answer:
The reason why these triangles are similar is;
A. AA
Step-by-step explanation:
A two column proof can be presented using the drawing of the question diagram created with Microsoft Visio as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {AB}[/tex] ║ [tex]\overline {DE}[/tex] [tex]{}[/tex] Given
∠ACB ≅ ∠DCE [tex]{}[/tex] Vertically opposite angles
∠BAC ≅ ∠DEC [tex]{}[/tex] Alternate interior angles theorem
∠ABC ≅ ∠CED [tex]{}[/tex] Alternate interior angles theorem
ΔABC ~ ΔCDE [tex]{}[/tex] By Angle-Angle (AA) similarity postulate
Therefore, the correct option is AA.
