To determine whether two triangles
- The corresponding angles of the two triangles are congruent.
- The lengths of the corresponding sides are proportional.
In your options, we see the following potential reasons for similarity:
- Yes. All sides are proportional.
- Yes. All angles are congruent.
If either of these conditions is met, we can conclude that the triangles are similar.
The other options discuss hypothetical placements of point
To make a definitive assessment based on the information provided, we would need the actual measurements or coordinates for points
However, if it can be established that either all angles are congruent or all sides are proportional in the actual figures, then the triangles can be confirmed as similar.
Therefore, based on the responses you've provided:
-
If the actual figures show either all angles of
and are congruent or all sides are proportional, you would choose:- "Yes. All angles are congruent."
- or "Yes. All sides are proportional."
If neither condition is met based on the figures, then the triangles are not similar, and you would pick one of the responses regarding point
Ultimately, without more context or specifics about coordinates or side lengths, I cannot definitively choose one of the statements as the conclusion.