Given ED ≅ DB, the following statements about the figure are true:
EB is bisected by DF.
A is the midpoint of FC.
EB is a segment bisector.
FA = 1/2 FC.
DA ⇒ AB.
EB is bisected by DF. Since ED ≅ DB, we know that triangles EBD and EDA are congruent. This means that angles EBD and EDA are equal, and therefore DF is an angle bisector of angle EDB. Since DF bisects angle EDB, it also bisects segment EB.
A is the midpoint of FC. Since DF is an angle bisector of angle EDB, we know that angles DFA and DFB are equal. This means that triangles DFA and DFB are congruent, and therefore segments FA and FB are equal. Therefore, A is the midpoint of FC.
Since DF bisects segment EB, we know that segments FD and FB are equal. Therefore, triangles EAF and CAF are congruent. This means that angles EAF and CAF are equal, and therefore FA is an angle bisector of angle EFC. Since FA bisects angle EFC. Therefore, EB is a segment bisector of triangle FFC.
complete the question
Given ED ≅ DB, which statements about the figure are true? Check all that apply. EB is bisected by DF. A is the midpoint of FC. FC bisects DB. EB is a segment bisector. FA = 1/2 FC. DA ≅ AB.
Given ED ≅ DB, which statements about the figure are true? Check all that apply.
EB is bisected by DF.
A is the midpoint of FC.
FC bisects DB.
EB is a segment bisector.
FA = 1/2 FC.
DA ≅ AB.