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Are parallelogram are regular polygons?
No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.No. In a regular polygon, all sides are congruent, and all angles are congruent. A parallelogram doesn't satisfy either of these conditions.
What shape has 2 pairs of congruent sides with those sides being non-adjacent and the angles are not all congruent?
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).
Are all angles of a parallelogram congruent?
All angles of a parallelogram are not necessarily congruent. A parallelogram means that the opposite sides run in straight lines that don't intersect. An example is a rectangle or square. Length of sides DO NOT determine if opposite angles are congruent. As long as opposite sides do not intersect each other at any point (if you continue to draw the lines), then the angles diagonal from each other are the same.
Why is a parallelogram is not necessarily a rhombus?
The definition of a parallelogram is that it has four sides, the opposite sides are congruent and parallel, and opposite angles are congruent. This includes rectangles, squares, rhombuses, etc.The definition of a rhombus states that it is a parallelogram, but more specifically that all sides are congruent.So a rhombus is a parallelogram, but not all parallelograms are rhombuses.
What is a parallelogram in which all sides are congruent?
A square or a rhombus. A rhombus does not have 4 congruent angles as a square does. It's always a rhombus. And, depending on the angles, it could also be a square. (This definition treats the square as a special case of the rhombus.)
