Kristina wants to prove that the base angles of any isosceles triangle are congruent. She
draws ADEF, as shown, and then draws segment EG, the angle bisector of E.
Use the drop-down menus below to complete Kristina's proof that base angles of an
isosceles triangles are congruent.
CLEAR
CHECK
Step 1: _DEG and ZFEG are
congruent
by definition of an angle bisector.
Step 2: It is given that segment DE 2 segment EF, and segment EG-segment EG by
the reflexive property.
Step 3: ADEG = AFEG by
Conclusion: So, 2D : _F because they are corresponding parts of congruent
triangles.