If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?

6 answers
Question:

If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?

Answers

segment AB and segment DE

segment CA and segment DF

Step-by-step explanation:

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

we have

ΔABC≅ΔDEF

so

AB≅DE

BC≅EF

AC≅DF

∠A≅∠D

∠B≅∠E

∠C≅∠F

therefore

segment AB and segment DE

segment CA and segment DF (remember that CA=AC)

AB is congruent to DE
BC is congruent to EF
AC is congruent to DF

Acorresponds to d, b corresponds to e and c corresponds to f

All angles are congruent to its corresponding part. While all segments are similar to its corresponding part

Answer is   ED

note: ED is the same as DE. The order of the segment letters does not matter.

Explanation:

In the sequence ABC, the letter B is the second letter and A is the first.

So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.

The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".

Hey,i'm not sure if this is the right answer but this is how i have solved ur since,triangleabc congruent to triangledef=> ab=de,bc=ef and ac=hope this

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