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Definition:
Some quadrilaterals also possess the definitions of other quadrilaterals. It is just that these quadrilaterals have even more limitations. For instance, a rectangle is a type of parallelogram with congruent angles.
Summary:
QUADRILATERAL is a closed figure with four sides.
Rectangle is a quadrilateral with:
- four right angles, meaning four 90-degree angles
- equal opposite sides
Square is a quadrilateral with:
- four right angles, meaning four 90-degree angles
- four equal sides
Parallelogram is a quadrilateral with:
- two pairs of parallel sides
- equal opposite sides
- opposite angles are equal
Rhombus is a parallelogram with:
- four equal sides
- Opposite sides are parallel
- Opposite angles are equal
- Diagonals bisect each other at right angle
Trapezoid is a quadrilateral with:
- one pair of opposite parallel sides
Kite is a quadrilateral with:
- two pairs of adjacent sides of the same length
- One pair of opposite sides are equal
- One diagonal bisects the other
- Diagonals intersect at right angle
Hierarchy means series of ordered grouping of shapes.
So what does hierarchy of quadrilaterals say?
- Kite is a quadrilateral.
- Trapezoid is a quadrilateral.
- A rhombus is a type of kite. It is also a kind of parallelogram.
- Parallelogram is a type of trapezoid.
- Rectangle is a parallelogram and at the same time, an isosceles trapezoid. It possesses the properties of both parallelogram and isosceles trapezoid.
- Square has the properties of parallelogram, rhombus, and rectangle.
Understanding Properties and Hierarchy of Shapes Worksheets
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