Final answer:
If t equals y, and y equals k, then t equals k is an illustration of the transitive property of equality. This property states that if one quantity is equal to a second, and the second is equal to a third, then the first is equal to the third.
Step-by-step explanation:
If t=y, and y=k, then t=k illustrates which property of equality. The correct answer is D) transitive property.
The transitive property of equality states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. This property allows us to conclude that if t equals y, and y equals k, then t must also equal k.
Other properties like the symmetric property deals with the interchangeability of equality, the distributive property combines addition and multiplication, and the reflexive property implies that a quantity equals itself. None of these describe the relationship shown in the question, therefore, answer D) transitive property, is correct.