What are the properties of parallelogram and rectangle?
Conclusion:
| Quadrilateral | Properties |
|---|---|
| Parallelogram | 1) Opposite sides are equal. 2) Diagonals bisect one another. 3) Opposite angles are equal. |
| Rectangle | 1) All the properties of a parallelogram. 2) Diagonals are equal. 3) Each of the angles is a right angle. |
What are the properties of a quadrilateral parallelogram?
A parallelogram has four properties:
- Opposite angles are equal.
- Opposite sides are equal and parallel.
- Diagonals bisect each other.
- Sum of any two adjacent angles is 180°
What are the properties of parallelogram?
Convex polygon
Parallelogram/Properties
How is a rectangle a parallelogram?
The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why a rectangle is always a parallelogram.
How do you prove a rectangle is a parallelogram?
Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
When can a quadrilateral be called a parallelogram?
parallel
A quadrilateral can be called a parallelogram when both pairs of opposite sides are parallel.
What are the similarities and differences between a rectangle and a parallelogram?
Difference & Similarity between Rectangle & Parallelogram
| Rectangle | Parallelogram |
|---|---|
| Opposite sides of rectangle are of equal length | Opposite sides of parallelogram are also of equal length |
| All angles of a Rectangle are also of 90 Degree each i.e. right angled at each vertex | Angles of parallelogram can be of different degree |
Is a rectangle a quadrilateral and a parallelogram?
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.
What are the rules of a quadrilateral?
Rules for Quadrilaterals. 1. These rules are the same for all quadrilaterals: a) They are all polygons. b) The interior angles ALWAYS add to 360 degrees. 2. These are the rules for rectangles a) The diagonals of a rectangle are congruent and bisect each other. b) Opposite sides are ALWAYS parallel.
What is quadrilateral with no equal sides?
A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel. And a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: An Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles.
How do you describe a quadrilateral?
Quadrilateral is defined as a shape with four sides and four angles. An example of a quadrilateral is a rectangle.
Is a quadrilateral a rectangle?
A quadrilateral is any polygon with four sides. A rectangle, by definition, is a polygon with four sides and four right angles. Every rectangle is a quadrilateral because all rectangles must have four sides, which is the definition of a quadrilateral.
