What are the big 5 properties of parallelograms?
The parallelogram has the following properties:
- Opposite sides are parallel by definition.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
- The diagonals bisect each other.
What are the conditions of a parallelogram?
Both pairs of opposite sides are congruent. Both pairs of opposite angles are congruent. The diagonals bisect each other. One angle is supplementary to both its consecutive angles.
What are the conditions for a parallelogram to be a rhombus?
If two consecutive sides of a parallelogram are congruent, then it’s a rhombus (neither the reverse of the definition nor the converse of a property). If either diagonal of a parallelogram bisects two angles, then it’s a rhombus (neither the reverse of the definition nor the converse of a property).
What are the conditions that make a quadrilateral a parallelogram?
Well, we must show one of the six basic properties of parallelograms to be true!
- Both pairs of opposite sides are parallel.
- Both pairs of opposite sides are congruent.
- Both pairs of opposite angles are congruent.
- Diagonals bisect each other.
- One angle is supplementary to both consecutive angles (same-side interior)
What are the conditions for a quadrilateral to be a parallelogram?
What are unique parallelograms?
All squares and rectangles are parallelograms, they are just special parallelograms where all interior angles are right angles. A rhombus is a special kind of parallelogram in which all four sides are equal length.
What condition will make parallelogram care a rectangle?
If a parallelogram is known to have one right angle, then repeated use of co-interior angles proves that all its angles are right angles. If one angle of a parallelogram is a right angle, then it is a rectangle.
What are all properties of parallelograms?
Convex polygon
Parallelogram/Properties
