Answer:
Question 5: <ACB=<DFE
Question 6:AB=DE
Question 1: SSS (side side side)
Question 2: SAS (side angle side)
Explanation:
All of these questions are talking about congruency theorems. There are many theorems including SAS, SSS, AAS, etc, that help with congruency.
SAS=side angle side
SSS = side side side
AAS = angle angle side
HL (right triangles only)= hypotenuse and a leg are congruent
ASA=angle side angle
Question 5:
In this case, they are asking for AAS, which stands for Angle-Angle-Side. We are already given 1 angle, and 1 side, so we need another angle. The answer to this would be to show that <ACB and <DFE are congruent.
Question 6:
They are asking for the same thing (triangle congruency), but by using SAS, which is Side-Angle-Side. We are given 1 angle, 1 side, so we need another side. The answer to this would be AB=DE.
Question 1:
We are given 3 sides, which means that the congruence theorem would be SSS (Side-Side-Side).
Question 2:
We are given a side, an angle, and another side. This means that the congruence thorem would be SAS (Side-Angle-Side).
Hope this clarifies! Let me know if you have more questions :)