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Would Two rectangles that have a same perimeter are congruent?

No


Why are two rectangles with the same perimeter congruent?

They need not be congruent so the question is based on a fallacy.


If two rectangles have the same perimeter, do they have to be congruent?

if you mean congruent as allowing to rotate, reflect then yes 1 likely though


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.


Is it true that two rectangles are always congruent?

No, two rectangles are not always congruent. Two rectangles are considered congruent if they have the same dimensions, meaning both their lengths and widths are equal. However, rectangles can have different dimensions and still be rectangles, making them non-congruent.


If two rectangles have the same perimetre they must have the same area?

No, two rectangles with the same perimeter do not necessarily have the same area. The area of a rectangle is calculated as length multiplied by width, while the perimeter is the sum of all sides. For example, a rectangle with dimensions 2x5 (perimeter 14) has an area of 10, while a rectangle with dimensions 3x4 (also perimeter 14) has an area of 12. Thus, rectangles can have the same perimeter but different areas.


Are two rectangles with the same perimeter always congruent to each other?

no because one rectangle may be 3x4 which the perimeter is 14 and one rectangle may be 5x2 which as well equals 14


Are 2 rectangles congruent?

Two rectangles are congruent if they have the same dimensions, meaning their lengths and widths are equal. This implies that they can be superimposed on one another without any gaps or overlaps. If the dimensions differ, the rectangles are not congruent, even if they have the same area.


Why does rectangles have the same area and perimeter?

they dont


Is it possible for two rectangles to have the same perimeter and area?

Only if they are congruent. One of them could be the a rotation of the other - eg 4m x 6m and 6m x 4m.


Are two objects congruent just because they have the same perimeter?

No. The corresponding sides and angles of the two shapes MUST be the same.


If two rectangles have the same area must they have the same perimeter?

No, two rectangles with the same area do not necessarily have the same perimeter. For example, a rectangle with dimensions 2 x 6 has an area of 12 and a perimeter of 16, while a rectangle with dimensions 3 x 4 also has an area of 12 but a perimeter of 14. Thus, different combinations of length and width can yield the same area but different perimeters.