f hexagon A is similar to hexagon B and hexagon B is similar to hexagon C.then what conclusion can be drawn?what property does this illustrate?
If they are all hexagons, that is a similarity. Their shapes are similar. Are they similar in any other way?
I hope this helps. Thanks for asking.
chapter5 lesson7
chapter5 lesson7 of 6th
If hexagon A is similar to hexagon B and hexagon B is similar to hexagon C, then it can be concluded that hexagon A is similar to hexagon C. This is known as the Transitive Property of Similarity.
The Transitive Property of Similarity states that if two figures are each similar to a third figure, then they are also similar to each other. In this case, since hexagon A is similar to hexagon B and hexagon B is similar to hexagon C, it follows that hexagon A is similar to hexagon C.
To determine similarity between two polygons, we typically look for corresponding angles and corresponding side lengths that are proportional. If the corresponding angles are congruent and the corresponding side lengths are in the same ratio, we can conclude that the two polygons are similar. In this case, the similarity of hexagon A to hexagon B and the similarity of hexagon B to hexagon C imply that hexagon A is also similar to hexagon C.