When all the dimensions and angles are identical.
In geometry, a regular object has all sides and all angles equal.
Presuming our geometry is Euclidean, such a shape would be a rectangle, since all 4 angles would be right angles. If our geometry is hyperbolic, it would be possible to construct such a quadrilateral which is not a rectangle (and in fact, rectangles cannot exist in a hyperbolic geometry). I do not believe such a quadrilateral has any special name.
All three interior angles of a spherical triangle may be right angles.
The branch of mathematics dealing with angles is geometry, there aren't angles in arithmetic.
When you are designing something you have to have all the correct angles and that is where the geometry kicks in.
Geometry is all about the study of angles, lines, planes, and shapes
Yes
All angles in cubes should be 90 degrees.
When all the dimensions and angles are identical.
In geometry, a regular object has all sides and all angles equal.
There are four right angles in a square or rectangular geometry
Presuming our geometry is Euclidean, such a shape would be a rectangle, since all 4 angles would be right angles. If our geometry is hyperbolic, it would be possible to construct such a quadrilateral which is not a rectangle (and in fact, rectangles cannot exist in a hyperbolic geometry). I do not believe such a quadrilateral has any special name.
The difference between regular geometry and solid geometry is that regular geometry deals with angles, measuring angles, and theorem/postulates. Solid geometry deals with shapes and multiple sided figures.
In geometry, angles are studied mostly in relation to each other. In Trigonometry, angles are studied in relation to side lengths and triangles.
All three interior angles of a spherical triangle may be right angles.
All triangles have a total of 180 degrees for interior angles in Euclidean plane geometry