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Please Help Filling In The Missing Blanks Of The Twocolumn Proof

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5.
B
E
p
A
F
C
Statements
Reasons
1.D is the midpoint of side BC of triangle
1.Given
ABC and the bisectors of angles ADB
and ADC meet AB and AC at E and F
respectively
3. Triangle ABC = triangle AEF
3.If two angles of one triangle are equal
respectively to two angles of another,
then the triangle are similar. (a.a.)
4.AE + EB = AB amp; AF+FC = AC
4.Segment Addition Postulate
5. Triangle BDE = triangle ADE amp; triangle
5. Definition of angle bisector
CDF = triangle ADF
6.AE/EB = AF/FC
6.Corresponding sides of similar
triangles are proportional (C.S.S.T.P.)
7.Angle ABD = angle AEF amp; angle BCA = |7.Corresponding Angles Postulate
angle EFA
8.DE bisects AB and DF bisects AC
8.
proportionally
9.EF // BC
9. If a line divides two sides of a triangle
proportionally, then it is parallel to the
third side. (Theorem 54)Math