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In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
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| Parallelogram | |
|---|---|
| Edges and vertices | 4 |
| Symmetry group | C2, [2]+, |
| Area | b × h (base × height); ab sin θ (product of adjacent sides and sine of the vertex angle determined by them) |
| Properties | convex |
- Do all parallelograms have 4 sides?
- Does a parallelogram have 6 sides?
- How many parallelograms are there?
- Does parallelogram have 4 right angles?
- Are parallelogram sides equal?
- Does a parallelogram have 4 sides the same length?
- Which best describe the sides of a parallelogram?
- What are the opposite sides of a parallelogram?
- What are examples of parallelograms?
- How many parallelograms are in a triangle?
- How do you find the fourth side of a parallelogram?
- How do you find the sides and angles of a parallelogram?
- Are all sides congruent in a parallelogram?
Do all parallelograms have 4 sides?
Parallelograms are four-sided shapes that have two pairs of parallel sides. Rectangles, squares and rhombuses are all classified as parallelograms. The classic parallelogram looks like a slanted rectangle, but any four-sided figure that has parallel and congruent pairs of sides can be classified as a parallelogram.
Does a parallelogram have 6 sides?
A parallelogon must have an even number of sides and opposite sides must be equal in length and parallel (hence the name). A less obvious corollary is that all parallelogons have either four or six sides; a four-sided parallelogon is called a parallelogram.
How many parallelograms are there?
The simplest parallelograms are ABFE, BCGF, CDHG, EFJI, FGKJ and GHKL. These are 6 in number. The parallelograms composed of two components each, are ACGE, BDHF, EGKI, FHLJ, ABJI and CDLK. Thus, there are 7 such parallelograms.
Does parallelogram have 4 right angles?
Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.
Are parallelogram sides equal?
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
Does a parallelogram have 4 sides the same length?
Definition 1: A parallelogram is a four sided figure where the opposite sides are parallel. Theorem 1: In a parallelogram, the opposite sides are of equal length. ... Definition 3: A rhombus is a quadrilateral where all four sides have the same length. Theorem 7: A rhombus is a parallelogram.
Which best describe the sides of a parallelogram?
The opposite sides of a parallelogram are parallel to each other. The opposite sides of a parallelogram are equal in length. The opposite angles of a parallelogram are equal in measure.
What are the opposite sides of a parallelogram?
A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
What are examples of parallelograms?
A parallelogram is a shape with four sides, and the sides opposite each other are parallel, meaning they don't intersect. Examples of parallelograms include squares, rhombuses, and rectangles. Circles, triangles, and trapezoids are not parallelograms.
How many parallelograms are in a triangle?
Here are examples of how two copies of both Triangle A and Triangle F can be composed into three different parallelograms. This special relationship between triangles and parallelograms can help us reason about the area of any triangle.
How do you find the fourth side of a parallelogram?
We know that the opposite sides of a parallelogram are equal to each other. So, AB = CD and BC = AD. x=9 and y=4. Hence, the fourth vertex is (9,4).
How do you find the sides and angles of a parallelogram?
This can also be calculated by the formula, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. Here, 'n' = 4. Therefore, the sum of the interior angles of a parallelogram = S = (4 − 2) × 180° = (4 − 2) × 180° = 2 × 180° = 360°.
Are all sides congruent in a parallelogram?
One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. If we have a parallelogram where all sides are congruent then we have what is called a rhombus.
