Quadrilaterals are four sided polygons. They are classified by their
sides and angles. an important distinction between quadrilaterals is
whether or not one or more pairs of sides are parallel. One of the more
familiar quadrilaterals is a parallelogram. You will see that a square, a
rectangle, and a rhombus are all different types of a parallelogram.
The quadrilaterals 4 types basically but there are some other types that
satisfy the properties of quadrilaterals. Let us see the 4 types of
quadrilaterals.
quadrilaterals 4 types:
Trapezoid:
A trapezoid is a quadrilateral that has one pair of parallel sides.
Parallelogram:
A parallelogram is a quadrilateral of two pairs of parallel sides.
Additional properties:
A rectangle is a parallelogram with four right angles.
Additional properties:
A square is a rectangle with all sides equal.
Additional properties:
A rhombus is a parallelogram with all sides equal.
Additional properties:
Isosceles Trapezoid:
An isosceles trapezoid is a quadrilateral.
Additional properties:
Example 1:
Find the base of a parallelogram if its area is 512 cm2 and altitude is 14 cm.
Solution:
Area = base × height.
512 = base × 14.
b = 512 / 14
= 512 cm.
Base = 36.5 cm.
Example 2:
Find the perimeter of square whose sides are 11 cm.
Solution:
given the side if square is 11cm
Perimeter of the square, P = 4a
= 4 × 11 cm
= 44 cm
Hence the perimeter of square is 44 cm.
quadrilaterals 4 types:
Trapezoid:
A trapezoid is a quadrilateral that has one pair of parallel sides.
Parallelogram:
A parallelogram is a quadrilateral of two pairs of parallel sides.
Additional properties:
- Opposite sides parallel
- Opposite sides equal in measure
- Opposite angles equal in measure
A rectangle is a parallelogram with four right angles.
Additional properties:
- Opposite sides parallel
- Opposite sides equal in measure
- All angles measure 90°
- Diagonals equal in length
A square is a rectangle with all sides equal.
Additional properties:
- Opposite sides parallel
- All sides equal in measure
- All angles measure 90°
- Diagonals equal in length
A rhombus is a parallelogram with all sides equal.
Additional properties:
- Opposite sides parallel
- All sides equal in measure
- Opposite angles equal in measure
Isosceles Trapezoid:
An isosceles trapezoid is a quadrilateral.
Additional properties:
- One pair of parallel sides
- Nonparallel sides are equal in length
quadrilaterals 4 types:
Example 1:
Find the base of a parallelogram if its area is 512 cm2 and altitude is 14 cm.
Solution:
Area = base × height.
512 = base × 14.
b = 512 / 14
= 512 cm.
Base = 36.5 cm.
Example 2:
Find the perimeter of square whose sides are 11 cm.
Solution:
given the side if square is 11cm
Perimeter of the square, P = 4a
= 4 × 11 cm
= 44 cm
Hence the perimeter of square is 44 cm.
No comments:
Post a Comment