The figure below shows ADC and BEC.



Complete the two-column proof.

BE AC and AD CB

CB ≅ CA

Prove:

ADC ≅ BEC

Statement Reason
BE
a0 and AD CB
CB ≅
a1 Given

a2 and BEC are right angles Perpendicular lines form
a3 angles

a4 =
a5
a6 Property
ADC ≅
a7
a8 Postulate

The figure below shows ADC and BEC Complete the twocolumn proof BE AC and AD CB CB CA Prove ADC BEC Statement Reason BE a0 and AD CB CB a1 Given a2 and BEC are class=

Respuesta :

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)



 


Ver imagen parmesanchilliwack

Statement Reason

BE  

AC

a0 and AD  CB

CB ≅  

CA

a1 Given

 

ADC

a2 and BEC are right angles Perpendicular lines form  

90

a3 angles

 

ACD

a4 =  

BEC

a5  

common angle

a6 Property

ADC ≅  

triangle BEC

a7  

ASA

a8 Postulate