Question 1:
To determine the transformations needed to show that the triangles are congruent, we typically analyze the orientation and position of the triangles. The correct responses would likely be:
- Reflection
- Translation
This means you would first reflect one triangle over a line (if needed) to match its orientation to the other triangle, and then translate it to line up exactly.
Question 2:
The congruency theorem that these transformations might be justifying is:
- ASA (Angle-Side-Angle)
This is because if you can align one triangle to another using these transformations, you can show that corresponding angles and side lengths are equal, thus demonstrating congruence through the ASA criterion.