Parallelogram: A parallelogram is a quadrilateral whose opposite sides are the same length, and they are parallel. Examples of parallelograms include a square, rectangle, rhombus, etc. Rectangle: A rectangle is a parallelogram with 4 right angles.
Therefore, what we commonly think of as a rectangle is of course a rectangle, but a square is also a rectangle by definition. Rhombus: A rhombus is a parallelogram with all 4 sides the same length.
Therefore, a square is technically also a rhombus. Square: A square is a type of rectangle that has 4 sides that are equal length, and has 4 right angles.
Trapezoid: A trapezoid is a quadrilateral that has exactly one pair of parallel sides. As always, playing math games at home is a great way to reinforce math skills learned in school. Have questions or ideas about this story? Have ideas for future Parent Homework Help stories? Comments on this entry are closed. The implication works in the other direction, too: any quadrilateral whose opposite angles add up to degrees is a cyclic quadrilateral.
When the quadrilateral and the circle passing through its vertices are both shown, the quadrilateral is said to be inscribed within the circle and the circle is said to be circumscribed about the quadrilateral.
Parallelograms that are not also rectangles cannot be inscribed in a circle: they are not cyclic quadrilaterals. A circle that passes through three of the vertices is either too large to pass through the fourth blue circle at the left or too small to pass through the fourth red circle at the right. In addition to circumscribing circles around a quadrilateral drawing circles around a quadrilateral, touching each vertex , it is sometimes possible to inscribe a circle draw a circle within a quadrilateral so that each side of the quadrilateral is tangent to the circle.
This group of quadrilaterals has no special name of its own, but includes kites, rhombuses, and squares along with other quadrilaterals that have no particular name. Investigations: When investigating special quadrilaterals and their properties, students find many ways to distinguish quadrilaterals.
Some productive explorations ask students to look for special properties of angles congruent or supplementary , sides parallel, perpendicular, or congruent , and diagonals perpendicular, bisecting, or congruent. Shape: Quadrilateral. Shape: Quadrilateral Topics: Mathematical Language. Quadrilateral A quadrilateral is a polygon that has exactly four sides. Meaning A quadrilateral is a polygon that has exactly four sides. Some examples of quadrilaterals: Discussions of 2-D shapes sometimes refer only to the boundary the line segments that form the edges of the figure or to the interior as well.
Some K-8 curricula also include kites G and, in some definitions H. Classification Just as triangles and quadrilaterals are special types of polygons, there are many subclasses of quadrilaterals. Children can also experiment with this idea by coloring or labeling the corners of a quadrilateral , cutting the corners off … , and fitting the colored vertices together to show that they all fit snugly around a point.
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. The only regular all sides equal and all angles equal quadrilateral is a square. So all other quadrilaterals are irregular. This may seem odd, as in daily life we think of a square as not being a rectangle Oh Yes!
A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.
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