It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.
opposite angles in which type of quadrilateral?
If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.
Yes, the opposite angles in a regular quadrilateral are equal.
A rhombus is a simple quadrilateral with all its sides of equal length. As a result,its opposite sides are parallel,its opposite angles are equal,its adjacent angles are supplementary, andits diagonals bisect each other at right angles.
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.
All quadrilaterals apart from rectangles. Even parallelograms have adjacent angles that are not equal.
Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
opposite angles in which type of quadrilateral?
If all adjacent angles are congruent, it can only be a rectangle (or square).
a rectangle
If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.
Yes, the opposite angles in a regular quadrilateral are equal.
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
at least one pair of opposite sides is parallel