Answer: We can fill the columns with help of below explanation.
Explanation: Here, we have a figure in which we have two triangles ADC and BEC.
And required prove is [tex]\triangle ADC\cong\triangle BEC[/tex]
[tex]BE\perp AC[/tex]and [tex]AD\perp CB[/tex] ( given)
And, [tex]CB\cong CA[/tex](given)
[tex]\angle ADC[/tex] and [tex]\angle BEC[/tex] are right angle triangle.( perpendicular lines form 90° angle)
So, [tex]\angle ADC \cong \angle BEC[/tex]
[tex]\angle ACD=\angle BCE[/tex] ( Common angle property )
[tex]\triangle ADC\cong\triangle BEC[/tex] ( ASA postulate)