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How is the Transitive Property of Parallel Lines similar to the Transitive Property of Congruence?
Wiki User
∙ 9y ago
If A ~ B and B ~ C then A ~ C.
The above statement is true is you substitute "is parallel to" for ~
or if you substitute "is congruent to" for ~.
Wiki User
∙ 9y ago
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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.
If two shapes are congruent then are they also similar?
Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.
What is an example of a transitive relationship?
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.
What is The difference between similarity and congruence?
Similarity is almost the same and Congruency is completely the same.
Why congruence is a special case of similarity?
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.
What is the difference between the transitive property of congruence and parallel lines?
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.
How do trade?
The transitive property holds for similar figures.
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.
If you have two boxes 12cmhigh12cmlong 12cmwide are they congruent or not similar?
No. Congruence implies similarity, so they are also similar. Though similarity is not enough for congruence.
If two figures are congruent then they are similar?
Yes. Congruence implies similarity. Though similarity is not enough for congruence.
If two shapes are congruent then are they also similar?
Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.
What is an example of a transitive relationship?
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.
What is The difference between similarity and congruence?
Similarity is almost the same and Congruency is completely the same.
What are the similarities and differences between faith and belief?
similarity and congruence are both different. Congruence is when two shapes are identical; in size and shape whereas similarity is when two shapes look similar but can vary in size.
Phrases that are similar in structure are said to be .?
parallel.
Figures with the same shape but not the same size?
congruent * * * * * No. COngruence does require same size. The figures in question are SIMILAR.
What does parallelism refers to?
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.
