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.