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Mathematics, 23.04.2021 23:00 mashejaj

​​In the figure shown, \overset{\leftrightarrow }{CF} CF

intersects \overset{\leftrightarrow }{AD}
AD

and \overset{\leftrightarrow }{EH}
EH

at points BB and FF, respectively.







​Part A

​Given: \angle CBD\cong \angle BFE∠CBD≅∠BFE
​​Prove: \angle ABF\cong \angle BFE∠ABF≅∠BFE
​Select from the drop-down menus to support each line of the proof.


​​Statement: \angle CBD\cong \angle BFE∠CBD≅∠BFE Reason:





​Statement : \angle CBD\cong \angle ABF∠CBD≅∠ABF Reason:



​Statement: \angle ABF\cong \angle BFE∠ABF≅∠BFE Reason:



​Part B

Given: m\angle CBD=m\angle BFEm∠CBD=m∠BFE
Prove: m\angle BFE+m\angle DBF=180^{\circ}m∠BFE+m∠DBF=180


Select from the drop-down menus to support each line of the proof.


​Statement: m\angle CBD=m\angle BFEm∠CBD=m∠BFE Reason:





​Statement: m\angle CBD+m\angle DBF=180^{\circ}m∠CBD+m∠DBF=180

Reason:





​Statement: m\angle BFE+m\angle DBF=180^{\circ}m∠BFE+m∠DBF=180

Reason:

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​​In the figure shown, \overset{\leftrightarrow }{CF} CF

intersects \overset{\leftri...
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