yes
You don't - you need additional information. Many different rectangles can have the same diagonal. If you know the diagonal and one side (which must be LESS than the diagonal), you can use Pythagoras' Theorem to calculate the other side.
A diagonal always forms an angle bisector in a square. In a rectangle, trapezoid, or any other quadrilateral, a diagonal does not always bisect the angles.
Yes, but only when the shape is a rectangle (or square). Other paralleograms will have one diagonal longer than the other. And yes, rectangles and squares ARE parallelograms.
If the 'ratio' (length/width) of one rectangle is the same number as (length/width) of the other one, then the two rectangles are similar.
Every rectangle is similar in that they both have 4 sides, they both have 4 angles, and they both have 2 sides equalling one length and the other 2 sides equalling a shorter length. Every two rectangles are similar in a way but they are not all exactly the same.
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.
You don't - you need additional information. Many different rectangles can have the same diagonal. If you know the diagonal and one side (which must be LESS than the diagonal), you can use Pythagoras' Theorem to calculate the other side.
A diagonal always forms an angle bisector in a square. In a rectangle, trapezoid, or any other quadrilateral, a diagonal does not always bisect the angles.
Yes, but only when the shape is a rectangle (or square). Other paralleograms will have one diagonal longer than the other. And yes, rectangles and squares ARE parallelograms.
If the 'ratio' (length/width) of one rectangle is the same number as (length/width) of the other one, then the two rectangles are similar.
Every rectangle is similar in that they both have 4 sides, they both have 4 angles, and they both have 2 sides equalling one length and the other 2 sides equalling a shorter length. Every two rectangles are similar in a way but they are not all exactly the same.
It depends on the context of the sentence. Squares may be considered as a special case of rectangles. Alternatively, the term rectangles may be reserved for right-angled quadrilaterals other than squares.
Rectangles must always have 4 sides. As there are two rectangles, there must be 8 sides. However, if these two rectangles have identical sized sides and they are placed against each other so that they look like one rectangle, there will only be 4 sides.
In this case, the quadrilateral is sometimes a parallelogram.
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
No. Two regular hexagons are always similar to each other, but two random hexagons are not necessarily similar.
Yes the 4 corners of a rectangle are perpendicular to each other and its opposite sides are parallel to each other.