Create a line through point C that is perpendicular to line AB. Label the intersection between a perpendicular line and line AB as point EWhen you’re done based on your construction what do you know about triangle ACE and BCE

As given by the question
There are given that to create a line through a point C.
Now,
The line through point C is perpendicular to line AB and intersection between a perpendicular line AB as point E.
So,
Now,
From the given triangle ACE and BCE;
[tex]\begin{gathered} AC=BC \\ \angle CEA=\angle CEB \\ CE=\text{CEAE}=EB \\ \Delta ACE\cong\Delta BCE \end{gathered}[/tex]