Answer:
Quadrilaterals are four-sided polygons, and there are various types of quadrilaterals, each with its own set of properties. Below are some common types of quadrilaterals and their properties.
Explanation:
Trapezoid:
Definition: A trapezoid has two parallel sides and two non-parallel sides.
Properties:
The sum of its interior angles is 360 degrees.
The diagonals may have different lengths.
The bases (parallel sides) may have different lengths.
Rectangle:
Definition: A rectangle has four right angles (90 degrees each) and opposite sides that are equal in length and parallel.
Properties:
All four angles are congruent (equal) and measure 90 degrees.
Opposite sides are equal in length.
Diagonals are congruent and bisect each other.
Square:
Definition: A square is a special type of rectangle with all four sides of equal length.
Properties:
All four angles are congruent (equal) and measure 90 degrees.
All four sides are equal in length.
Diagonals are congruent and bisect each other.
Parallelogram:
Definition: A parallelogram has opposite sides that are equal in length and parallel.
Properties:
Opposite sides are equal in length and parallel.
Opposite angles are congruent.
The sum of the interior angles is 360 degrees.
Rhombus:
Definition: A rhombus is a parallelogram with all sides of equal length.
Properties:
Opposite sides are parallel.
All four sides are equal in length.
Opposite angles are congruent.
Diagonals are perpendicular and bisect each other.
Kite:
Definition: A kite has two pairs of adjacent sides that are equal in length, but the opposite sides are not parallel.
Properties:
Two pairs of adjacent sides are equal in length.
Diagonals intersect at a right angle.
The longer diagonal bisects the shorter diagonal.
Isosceles Trapezoid:
Definition: An isosceles trapezoid has a pair of opposite sides that are parallel and a pair of opposite sides that are equal in length.
Properties:
One pair of opposite sides is parallel.
The other pair of opposite sides is equal in length.
The base angles (angles adjacent to the parallel sides) are congruent.