no
Yes.
If two squares have the same side length for all sides, then they are congruent.
Yes, two squares of different sizes can have the same perimeter. The perimeter of a square is calculated using the formula ( P = 4s ), where ( s ) is the length of a side. If two squares have side lengths such that ( 4s_1 = 4s_2 ), where ( s_1 ) and ( s_2 ) are the side lengths of the two squares, they will have the same perimeter. However, because the side lengths are different, the squares themselves will differ in size.
similar figures have the same angles but not necessarily the same side lengths
All squares are rectangles, as they meet the definition of having four right angles and opposite sides that are equal in length. However, not all rectangles are similar to each other; similarity requires that corresponding angles are equal and corresponding side lengths are proportional. Since rectangles can have different side lengths, they are not necessarily similar unless they have the same aspect ratio. In contrast, all squares are similar to each other because they have equal sides and angles.
Yes.
If two squares have the same side length for all sides, then they are congruent.
Yes, two squares of different sizes can have the same perimeter. The perimeter of a square is calculated using the formula ( P = 4s ), where ( s ) is the length of a side. If two squares have side lengths such that ( 4s_1 = 4s_2 ), where ( s_1 ) and ( s_2 ) are the side lengths of the two squares, they will have the same perimeter. However, because the side lengths are different, the squares themselves will differ in size.
A square is a rectangle in which all side lengths are the same.
They are said to be similar if they have the same angles but different lengths
similar figures have the same angles but not necessarily the same side lengths
All squares are rectangles, as they meet the definition of having four right angles and opposite sides that are equal in length. However, not all rectangles are similar to each other; similarity requires that corresponding angles are equal and corresponding side lengths are proportional. Since rectangles can have different side lengths, they are not necessarily similar unless they have the same aspect ratio. In contrast, all squares are similar to each other because they have equal sides and angles.
Rectangles have a right angle at each corner so all the angles are equal, but the lengths of the sides are not necessarily the same (although opposites must be or the corners will not be right angles). A square is a special kind of rectangle. All of the corners in a square are the same 90 degrees, like any old rectangle, but all of the sides of a square are also exactly the same length as each other. So all squares are rectangles, but not all rectangles are squares.
Rectangles are not squares. The reason to this is because squares must have sides of equal lengths. Rectangles are quadrilaterals with sides that join to make 90 degree angles, but are not restricted to having the same length. Therefore "all squares are rectangles", but rectangles cannot be squares.
Rectangles and squares are alike in that both pairs of their opposite sides are parallel and their inner corners are all 90-degree angles; they are different in that squares have equal lengths on all sides, and only rectangles' opposite sides are the same lengths.
A square is a polygon with equal sides and angles. Polygons with all sides the same lengths and all angles the same are Regular Polygons. Squares are one example of many, picture a stop sign. Such a figure is called a regular polygon
There's not necessarily any difference in the lengths. But even if the lengths are the same, they'll be described with different numbers, because the length of the unit used to count the length is different in the two systems.