Q: How is the Transitive Property of Parallel Lines similar to the Transitive Property of Congruence?

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The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.

Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.

A transitive relation is which objects of a similar nature are the same. An example is if a and b are the same, and if b and c are the same; then a and c are the same.

Similarity is almost the same and Congruency is completely the same.

Term similar is more wide than term congruent. For example: if you say that two triangles are congruent that automatically means that they are similar, but if you say that some two triangles are similar it doesn't have to mean that they are congruent.

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They are similar because they both have the definition of if A=B and B=C then A=C. They are different because since every parallel line is equal it shows that they do not exactly match up because of the transitive property of congruence.

The transitive property holds for similar figures.

The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.

No. Congruence implies similarity, so they are also similar. Though similarity is not enough for congruence.

Yes. Congruence implies similarity. Though similarity is not enough for congruence.

Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.

A transitive relation is which objects of a similar nature are the same. An example is if a and b are the same, and if b and c are the same; then a and c are the same.

Similarity is almost the same and Congruency is completely the same.

parallel.

congruent * * * * * No. COngruence does require same size. The figures in question are SIMILAR.

Parallel imports is a non-counterfeit product imported from Another Country without the permission of the intellectual property owner. They are often referred to as grey products.

Recall that two triangles are similar if one is simply a larger or smaller version of the other. So if you can make one bigger or smaller (this is called dilating) so that it looks exactly the same as another (and would fit exactly if moved with a congruence transform), then this would show similarity.