Choose the missing reason in the proof. a.) aas b.) asa c.) ssa d.) sas

D.) SAS

Step-by-step explanation:

AB = AC

BD = CD

<B = <C

So 2 triangles are congruent by SAS

D.) SAS

Step-by-step explanation:

SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to corresponding two sides and the included angle of other triangle then we say the two triangles are congruent.

In the given proof , in ΔABD and ΔACD

 [side]  (given)

[side] (given)

 [included angle] (Base angles of isosceles triangles are congruent.)

So by SAS congruence postulate ΔABD ≅ ΔACD.

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