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Are two rectangles always sometimes or never similar?

Two rectangles are always similar. Similarity in geometry means that two shapes have the same shape but may differ in size. Since rectangles have the same angles (all right angles) and their corresponding sides are in proportion, any two rectangles can be considered similar regardless of their dimensions.


Are rectangles always similar to each other?

Similar shapes need to have the same number of sides, the same angles and the ratio of the sides needs to be the same. Rectangles are not always similar to each other because they can have different dimensions, which would break the "same ratio" rule.


Does similar polygons always have the same area?

no. similar polygons do not have the same area. similar just means that they have the same angle measurements and are proportional.


Is there an example of 2 rectangles with the same area but different areas?

No. Many investigators have searched for such an example, but none have found it yet. According to all published research so far, two rectangles with the same area always have the same area. But the search goes on, in many great universities.


Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?

Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.


Why does rectangles have the same area and perimeter?

they dont


If two rectangles are similar then the corresponding sides are?

If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.


Are two rectangles always the same?

they can be any size but have to be the same shape


Are some rectangles simialar?

YES!!! 'Similar' in mathematics means that the sides and area are in given proportions. 'Congruent' in mathematics means that two shapes have the same length of sides and the same area, AND the same angular values.


How many rectangles have the same area and perimeter of 18?

thare is only 1 differint rectangles


Do two different rectangles with the same perimeter necessarily have the same area?

no


If two rectangles have the same area do they also have to have the same perimeter?

Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.