Take a rectangle and push either its left or ride side so it leans over; you have a parallelogram. A rectangle is a type of parallelogram. You can draw parallelograms. Use a straightedge ruler to draw a horizontal line segment, then draw another identical congruent line segment some distance above and to one side of the first one, so they do not line up vertically.
Make sure that second line segment is parallel to or equidistant from the first line segment. Connect the endpoints, and you have a parallelogram! Start at any vertex corner. Write a capital letter, then move either clockwise or counterclockwise to the next vertex.
Use a different capital letter. For our parallelogram, we will label it W X Y Z , but you can use any four letters as long as they are not the same as each other. Notice that line segments W X and Y Z are congruent. Line segments X Y and Z W are also congruent.
The opposite angles are congruent. Connecting opposite non-adjacent vertices gives you diagonals W Y and X Z. One interesting property of a parallelogram is that its two diagonals bisect each other cut each other in half. Another property is that each diagonal forms two congruent triangles inside the parallelogram. The name "parallelogram" gives away one of its identifying properties: two pairs of parallel, opposite sides.
A parallelogram does not have other names. Other shapes, however, are types of parallelograms. These geometric figures are part of the family of parallelograms:. For such simple shapes, parallelograms have some interesting properties. 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 rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi. I love that word. A square can be defined as a rhombus which is also a rectangle — in other words, a parallelogram with four congruent sides and four right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. There may be some confusion about this word depending on which country you're in.
In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides. An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent.
What is a unique parallelogram? Definition Of A Parallelogram 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. Is a kite a rhombus yes or no? So, if all sides are equal, we have a rhombus. A kite is not always a rhombus.
Is rhombus is a parallelogram? What shape is a trapezoid? A trapezoid is a four-sided shape with at least one set of parallel sides. It can have two and be a parallelogram. But, if two sides aren't parallel, then it's just the lowly trapezoid. So, in a trapezoid, the parallel sides are called the bases. Is a hexagon a parallelogram? Part of the definition of a Parallelogram is that it is a quadrilateral, so it must have exactly 4 sides.
This detail is often overlooked and only the two pairs of parallel sides is emphasized. But every Hexagon has 6 sides, so a hexagon is never a Parallelogram. What is called parallelogram? 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.
Do parallelogram diagonals bisect angles? All the properties of a parallelogram apply the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other.
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