Quadrilateral
A quadrilateral is a polygon with four sides, four angles, and four vertices
A quadrilateral is a polygon with four sides, four angles, and four vertices. In other words, it is a closed figure with four straight sides. The sum of the interior angles of a quadrilateral is always 360 degrees.
There are different types of quadrilaterals, each with specific properties:
1. Parallelogram: A parallelogram is a quadrilateral where opposite sides are parallel and congruent (equal in length). The opposite angles in a parallelogram are also congruent.
2. Rectangle: A rectangle is a parallelogram with four right angles. Opposite sides of a rectangle are parallel and congruent, and its diagonals are congruent.
3. Square: A square is a rectangle with four congruent sides. All angles in a square are right angles, and its diagonals are congruent and bisect each other.
4. Rhombus: A rhombus is a parallelogram with four congruent sides. Its opposite angles are congruent, and its diagonals intersect at right angles, bisecting each other.
5. Trapezoid: A trapezoid is a quadrilateral with one pair of parallel sides. The non-parallel sides are called legs, and the parallel sides are called bases.
6. Kite: A kite is a quadrilateral with two pairs of adjacent congruent sides. The diagonals of a kite intersect at right angles, and one diagonal bisects the other.
7. Isosceles Trapezoid: An isosceles trapezoid is a trapezoid where the base angles (the angles formed between the bases and the legs) are congruent. The legs of an isosceles trapezoid are also congruent.
Understanding the properties and characteristics of these quadrilaterals can help in solving problems involving their areas, perimeters, and angles.
More Answers:
The Properties of a Rhombus | Understanding the Characteristics and Features of this Special QuadrilateralUnderstanding the Math Behind Rectangles | Area, Perimeter, and Applications
Understanding the Properties and Theorems of Parallelograms in Mathematics