Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point)
triangle ABC is congruent to triangle EFD
triangle ACB is congruent to triangle DEF
triangle ACB is congruent to triangle DFE
triangle BCA is congruent to triangle FDE
The answer is c
just scramble DEF in the same order as ABC.
clearly the 1st and last choices are wrong...
The congruence statement that says the same thing as "triangle ABC is congruent to triangle DEF" is "triangle ACB is congruent to triangle DFE."
The congruence statement that says the same thing as "Triangle ABC is congruent to triangle DEF" is "Triangle ACB is congruent to triangle DFE."
To determine if two triangles are congruent, you need to establish whether their corresponding sides and angles are congruent. In this case, "Triangle ABC is congruent to triangle DEF" would mean that the corresponding sides and angles of triangle ABC and triangle DEF are equal.
When comparing the sides and angles of two triangles, the order matters. In the congruence statement, the corresponding vertices are listed in the same order for both triangles. So, the corresponding vertices of triangle ABC and triangle DEF in the given options are:
- triangle ABC corresponds to triangle EFD (same order)
- triangle ACB corresponds to triangle DEF (same order)
- triangle ACB corresponds to triangle DFE (different order)
- triangle BCA corresponds to triangle FDE (different order)
Considering this, we can see that the congruence statement "Triangle ACB is congruent to triangle DEF" says the same thing as "Triangle ABC is congruent to triangle DEF."