Question

Choose the missing reason in the proof. A.) AAS B.) ASA C.) SSA D.) SAS

Answer 1

Answer: 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

$\overline{AB}\cong\overline{AC}$  [side]  (given)

$\overline{BD}\cong\overline{CD}$ [side] (given)

$\angle{B}=\angle{C}$  [included angle] (Base angles of isosceles triangles are congruent.)

So by SAS congruence postulate ΔABD ≅ ΔACD.

Answer 2

Answer:

D.) SAS

Step-by-step explanation:

AB = AC

BD = CD

<B = <C

So 2 triangles are congruent by SAS