It is a square or a rectangle
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A square would fit the given description
A quadrilateral with two sets of parallel side and right angles is called a rectangle. If all the sides are the same size it is also called a square.
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
If by two sets of perpendicular lines you mean two pairs of perpendicular lines we can do it. One set of parallel lines is easy so draw that as the first and second lines A right angle from one of them will intersect the other at a right angle so that's the third line and the right angles sorted. The fourth side cannot be parallel to the third so draw it at an angle to the third. We now have two right angles, one set of parallel lines and two pairs of perpendicular lines, first and third, and second and third. What we call it depends on where we are. In the UK it is called a trapezium and in the USA a trapezoid. I'm afraid I don't know naming conventions in other countries.
For a uniform hexagonal prism, there are four pairs of parallel sides. On a hexagonal prism, the six side faces have interior angles of 120 degrees, so each face is parallel with one three over from it. The ends (base and top) are parallel and 90 degrees from each side.