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Answer:

  (b)  Transitive property of congruence

Step-by-step explanation:

The relations involved are all congruence relations, eliminating choices A and C.

The symmetric property tells you ...

  if A ≅ B, then B ≅ A

It is not applicable in this case.

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The applicable property is the transitive property of congruence:

  if A ≅ B and B ≅ C, then A ≅ C.

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Additional comment

This is similar to, but distinct from, the substitution property of congruence:

  if A ≅ B and A ≅ C, then B ≅ C.

Answer:

Transitive property of congruence

Step-by-step explanation:

Here

  • XY is congruent to TV
  • TV is congruent to TK

Hence

  • XY is congruent to TV is congruent to TK
  • XY is congruent to TK

Option B

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