Types of quadrilateral with definition and properties
Answers
Answer:
Step-by-step explanation:
Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straightsides.
Properties
A quadrilateral has:
four sides (edges)four vertices (corners)interior angles that add to 360
rhombus is a four-sided shape where all sides have equal length.
Also opposite sides are parallel and opposite angles are equal.
Another interesting thing is that the diagonals (dashed lines in second figure) meet in the middle at a right angle. In other words they "bisect" (cut in half) each other at right angles.
A rhombus is sometimes called a rhomb or adiamond.
The Square
A square has equal sides and every angle is a right angle (90°)
Also opposite sides are parallel.
A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).
The Parallelogram
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "a" are the same, and angles "b" are the same).
NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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:
TrapezoidTrapeziumIn the US:a pair of parallel sidesNO parallel sides In the UK:NO parallel sidesa pair of parallel sides(the US and UK definitions are swapped over!)
An Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles.
The Kite
it has adjacent sides equal
it looks like a kite (usually).
It has two pairs of sides:
Each pair is made of two equal-length sides that join
Irregular Quadrilaterals
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
Example: a square is also a rectangle.
So we include a square in the definition of a rectangle.