Isosceles EFG is shown, where FA is an angle bisector. H
Drag statements and reasons to the table to complete the proof that the base angles of the isosceles triangle are
congruent.
Statements
1. FG - EF and FA bisects CEFG.
2. GFH LEFH
3.
4.
5. LEG
Reasons
1. Given
2. Definition of an angle bisector
3. Reflective property
5. Corresponding angles of congruent
triangles are congruent.
FA FR
EGEG
Transitive property
Substitution
ΔGFHA ΔEFH
ZGFH LEFH
Reflexive property
FHG AFHE
SAS theorem
SSS theorem
AA theorem