There are plenty of different kinds of quadrilaterals, yet all have several points in common: every one of them have 4 sides, room coplanar, have actually two diagonals, and the amount of their four interior angles amounts to 360 degrees. This is just how they room alike, however what makes them different?

*

We know countless quadrilaterals through their distinct shapes and also properties, like squares. Remember, if friend see words quadrilateral, it does no necessarily typical a figure with special properties favor a square or rectangle! In native problems, be cautious not to assume the a quadrilateral has actually parallel political parties or same sides uneven that is stated.

You are watching: Can a kite be a parallelogram

Special Quadrilaterals


*

A parallelogram has two parallel pairs of opposite sides.

*

A rectangle has two pairs of opposite sides parallel, and four ideal angles. It is also a parallelogram, since it has two pairs of parallel sides.

*

A square has actually two pairs of parallel sides, 4 right angles, and all four sides are equal. The is also a rectangle and a parallelogram.

*

A rhombus is characterized as a parallel with 4 equal sides. Is a rhombus always a rectangle? No, since a rhombus does not have to have 4 ideal angles.
*
Trapezoids only have actually one pair the parallel sides. It"s a kind of quadrilateral the is no a parallelogram. (British name: Trapezium)

*

Kites have 2 pairs of surrounding sides that are equal.

We deserve to use a Venn diagram to assist us group the varieties of quadrilaterals.

*

A Venn diagram uses overlapping circles to display relationships between groups that objects. Every "quadrilaterals" have the right to be separated into three sub-groups: basic quadrilaterals, parallelograms and also trapezoids.

Is a rectangle constantly a rhombus? No, due to the fact that all 4 sides that a rectangle don"t need to be equal. However, the to adjust of rectangles and rhombuses execute intersect, and also their intersection is the set of squares—all squares space both a rectangle and also a rhombus.

We can put squares in the intersection of the 2 circles.

From this diagram, you deserve to see the a square is a quadrilateral, a parallelogram, a rectangle, and a rhombus!

Is a trapezoid a parallelogram? No, due to the fact that a trapezoid has only one pair of parallel sides. That is why us must present the set of trapezoids in a different circle top top the Venn diagram.

See more: If You Find Your Tire Off Of The Roadway And On A Low Unstable Shoulder

What about kites? Kites are quadrilaterals that can it is in parallelograms. If their two pairs that sides are equal, it i do not care a rhombus, and also if their angles are equal, it becomes a square.

Related Links: Area formulas Perimeter recipe

back to top


Homework help | Geometry | Polygons
*
Email this page to a friend
Search
*
·Polygon basics
·Triangles
·Quadrilaterals
·Area of polygon and circles