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Quadrilaterals

Quadrilaterals. Presented By :- PAWAN SINGH T.G.T(Maths) K.V. NO.2 AFS Suratgarh. 2 nd spell inservice course. LEARNING Objective's. Definition of Quadrilateral. Types of Quadrilateral. Difference between Rhombus & Square and Trapezoid &Parallelogram.

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Quadrilaterals

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  1. Quadrilaterals Presented By :- PAWAN SINGH T.G.T(Maths) K.V. NO.2 AFS Suratgarh 2nd spell inservice course

  2. LEARNING Objective's • Definition of Quadrilateral. • Types of Quadrilateral. • Difference between Rhombus & Square and Trapezoid &Parallelogram. • Angle sum property of Quadrilateral.

  3. Game between three players

  4. One player join them

  5. Definition:- “A Quadrilateral is polygon with four sides. And A polygon is a closed shape consisting of line segments that has at least three sides. “ OR “A flat closed shape with four straight sides is called Quadrilaterals“ • A quadrilaterals has four sides, four angles and four vertices.

  6. Quadrilaterals “Quad” means four. Why would all of these shapes be called “quadrilaterals”? Each shape has four sides.

  7. A square has four sides that are each the same length. It also has four right angles (perfect corners). Square TYPES OF QUADRILATERALS 1 4 3 2

  8. Rhombus • A rhombus has four sides that are each the same length. • But it has two acute and two obtuse angles. obtuse acute acute obtuse

  9. Square and Rhombus • A square and a rhombus both have four sides that are the same length. So, how are they different?

  10. Square and Rhombus • A rhombus can be thought of as a slanted square. • If we push on the left-hand side of this square, it might end up looking like… a rhombus.

  11. The only difference between a square and a rhombus is their angles.

  12. Trapezoid • A trapezoid has four sides. • Two sides are parallel. • The opposing two sides are not parallel. Those are not parallel. Those are parallel.

  13. Rectangle • A rectangle has four sides – two long sides and two short sides. • Two sides are parallel. • The opposing two sides are also parallel. • It also has four right angles.

  14. Parallelogram • A parallelogram has four sides – two long sides and two short sides. • Opposite sides are parallel. • But, it has two acute and two obtuse angles.

  15. Rectangle and Parallelogram • A parallelogram can be thought of as a slanted rectangle. • If we push on the left-hand side of this rectangle, it might end up looking like… a parallelogram.

  16. The only difference between a rectangle and a parallelogram is their angles.

  17. COMPARISION OF QUADRILATERALS.

  18. Special Parallelograms RHOMBUS RECTANGLE SQUARE

  19. Angle sum Property of a Quadrilateral Let ABCD be a quadrilateral and A & C joined to get diagonal AC. We obtain two triangles ∆ ADC & ∆ ABC Using Angle sum property in ∆ADC  DAC + ACD + D = 180° ----------------- (1) Similarly, in ∆ ABC  CAB +  ACB +  A = 180° ---------------- (2) Adding (1) and (2) we get  DAC + ACD+ D + CAB + ACB + B = 180° + 180° Also, DAC + CAB = A and ACD + ACB = C SO A + B + C + D =360° The sum of the angles of a quadrilateral is 360° D c A B

  20. Sample problem • The angles of quadrilateral are in the ratio 3:5:9:13.Find all the angles of the quadrilateral. • Sol‘n:-Let the angles are 3k,5k,9k&13 (multiple of k) We know Sum of angles is equal to 360° . So 3k+5k+9k+13k = 360° Or 30k = 360° Or k= 360° /30 Or k=12 Thus angle of quadrilateral are 36°,60°,108 ° & 156.°

  21. Evaluation • Quadrilateral whose two opposite sides are parallel is called …………. • Trapezoid has ……. Pair of parallel sides. • Polygon has ………or more sides. • The sum of angles in a quadrilateral is …… • If the angles of parallelogram is in ratio 1:2:1:2. Find the angles‽

  22. THANKS

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