Trapezoid
A rhombus. Commonly referred to as a "diamond".
A square has 4 right angles, and 2 pairs of equal, perpendicular sides.
A rectangle has 4 right angles.
Unfortunately, that shape is impossible to create. You would need to change one of your conditions to saying "two pairs of opposite sides that are equal" in which case you would get a rectangle. Or, you could get rid of the right angles. But if one pair of opposite sides can be equal and there are four right angles, then the other two sides will also be equal, which contradicts your first condition.
Oh, dude, that sounds like a parallelogram! It's like a square, but without all the right angles cramping its style. So, you've got those opposite sides that are equal, and those angles that are twinsies, but no right angles to be found. It's like the rebellious cousin of the square.
rectangle
A rectangle
A shape that has 2 pairs of equal sides and no right angles is a kite or a parallelogram. In a parallelogram, each side is equal to the one directly opposite; in a kite, the equal sides are adjacent to one another.
Parallelogram with four right angles and four equal sides is a square.
Corgent Angles
Both are quadrilaterals. A rectangle has 4 right angles, a rhombus has 2 pairs of equal angles (at opposite corners) A rhombus has 4 equal sides, a rectangle has 2 pairs of equal sides. The opposite sides in both shapes are parallel to each other.
It is a rectangle which is a 4 sided quadrilateral having opposite equal sides and 4 interior right angles that add up to 360 degrees
Yes, that's right. The corresponding angles will be diagonally opposite each other.
rhombus
A rhombus. Commonly referred to as a "diamond".
A rectangle has a length greater than its width and has 4 equal right angles. A rhombus has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles. Both are classed as 4 sided quadrilaterals with their 4 interior angles adding up to 360 degrees and both have opposite parallel sides.
A square has 4 right angles, and 2 pairs of equal, perpendicular sides.