Answer:
1. Not possible
2. SSS
Explanation:
Question 1
We are given two triangles. Notice how the one on the left has the angle between the marked sides.
The triangle on the right also has some sides and an angle that is congruent to the sides and angle of the first one. However, notice that the angle is not between the marked sides; the angle is between one of the marked sides, and one of the unmarked sides.
Congruent triangles need to have the sides be congruent, with the angles being in the same location. Since the angles are not in the same location, these triangles are NOT congruent.
So the answer is C; not possible.
Question 2
We are given two triangles, which already have some sides that have been marked congruent, with one unmarked side, that they both share.
Since this shared, unmarked side is considered to be part of both of the triangles, and to be congruent in both of those triangles. There is a property known as reflexive property, which states that a number (or value) is equal to the value of itself.
Because this shared side is the third congruent side, we can say that all of the sides are congruent, which is SSS (side-side-side) postulate.
The answer to question 2 is A; SSS.