Quadrilaterals & their properties(anmol)

A ppt on Quadrilaterals hope it will help U

1. Made by:- Anmol Pant Class:-9 th C Admn. No.-2789 TYPES OF QUADRILATERAL AND ITS PROPERTIES

2. What are quadrilaterals & their angle sum property Quadrilaterals are polygons with four sides The sum of the measures of the angles of a quadrilateral is 360 degrees

3. Names Here are some of the basic types of Quadrilaterals Kite Rhombus Trapezium Parallelogram Rectangle Square

4. Illustrations on the different types of Quadrilaterals to follow.

5. A trapezoid (Trapezium) is a quadrilateral with one pair of parallel sides.   Hi! I am a Trapezium

6. A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are  C ongruent . There are several formulas for the rhombus that have been derived by the formulae for the parallelogram. Hi! I am a Rhombus

7. A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel. Hi! I am a parallelog-am

8. A rectangle is a parallelogram with four right angles.  A rectangle is a parallelogram , its opposite sides must be congruent and it must satisfy all other properties of parallelograms . Hi, I am a Rectangle

9. Hi, I am a Square A square has the properties of a rhombus and a rectangle. Its sides intersect at 90° and all four sides are congruent.  

10. Hi, I am a Kite A kite is a 4-sided flat shape with straight sides that: * has two pairs of sides. * each pair is adjacent sides (they meet) that are equal in length.  Also, the angles are equal where the pairs meet.  Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.

11. ISOSCELES TRAPEZIUM An isosceles trapezoid is a trapezoid where the legs have equal length. It can also be defined as a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid .

12. The Properties of Quadrilaterals

13. PROPERTIES OF A QUADRILATERAL Interior Angle Sum Property: According to this property, the sum of the interior angles of the quadrilateral is 360 ° Exterior Angle Sum Property: According to this property, the sum of the exterior angles of the quadrilateral is 360 °

14. Sides Trapezoid Parallelogram Rectangle Square Rhombus Trapezium Sides 1 pair of parallel sides 2 pairs of parallel sides and opposite sides equal. 2 pairs of parallel sides and opposite sides equal. 2 pairs of parallel sides and all sides equal. 2 pairs of parallel sides and all sides equal. no pair of parallel sides

15. Angles Trapezoid Parallelogram Rectangle Square Rhombus Kite Angles All angles are right angles (90 o ) All angles are right angles (90 o ) Opposite angles are equal. Opposite angles are equal. One opposite pair of equal angles

16. Diagonals Parallelogram Rectangle Square Rhombus Kite Diagonals Diagonals bisect Diagonals equal Diagonals bisect at right angles Diagonals bisect at right angles Diagonals cross at right angles Trapezoid

17. All Three Parallelogram Rectangle Square Rhombus Kite Sides, angles and diagonals Trapezoid

18. Trapezium 1 Isosceles Trapezoid General Trapezoid Right-angled Trapezoid Right-angled Trapezoid Angles of Trapezoids One pair of equal sides and two pairs of equal angles. Sum of the angles is 360 degrees

19. Trapezium 2 Isosceles Trapezoid General Trapezoid Right-angled Trapezoid Right-angled Trapezoid Diagonals Diagonals of equal length

20. General Trapezoid Median of a Trapezoid The MEDIAN of a trapezoid is the line segment that joins the midpoints of the two non-parallel sides of the trapezoid. The length of the MEDIAN a trapezoid is the line segment that joins the midpoints of the two non-parallel sides of the trapezoid.

21. Two opposite sides (the bases) are parallel. T he two other sides (the legs) are of equal length. The diagonals are also of equal length. The base angles of an isosceles trapezoid are equal in measure PROPERTIES OF AN ISOSCELES TRAPEZIUM