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A sequence of transformations which moves ΔLMN onto ΔOPQ shows that ΔLMN ≅ ΔOPQ. Which part of the triangles are congruent by CPCTC?

A) ∠N ≅ ∠O

B) ∠M ≅ ∠P

C) ∠L ≅ ∠Q

D) ∠O ≅ ∠M

Respuesta :

Answer:

B

Step-by-step explanation:

I guessed and i got it right so here ya go

Answer:

B) ∠M ≅ ∠P

Step-by-step explanation:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent", which allows to deduct each corresponding part when two triangles are congruent.

So, if ΔLMN ≅ ΔOPQ, we deduct from this a lot of congruences. About angles, we can say that each corresponding pair is congruent, that is:

  • ∠L ≅ ∠O
  • ∠M ≅ ∠P
  • ∠N ≅ ∠Q

For sides, we deduct:

  • LM ≅ OP
  • MN ≅ PQ
  • NL ≅ QO

Based on the congruence, and the corresponding parts, the correct answer is option B. Other options are complete wrong.