Lines, angles , triangles and their properties
- 2. The Course Content Lines & Angles Properties Of Parallel Lines Properties Of Triangles
- 4. Lines and Angles At first I would like to explain Lines ….!
- 5. Some more types of Lines.
- 6. Angles Types Of Angle Description Acute Angle an angle that is less than 90°. Right Angle an angle that is 90° exactly. Obtuse Angle an angle that is greater than 90° but less than 180°. Straight Angle an angle that is 180° exactly. Reflex Angle an angle that is greater than 180°.
- 8. Properties of Parallel Lines At first, we should know, What is Parallel line? :- Lines are said to be parallel when they do not intersected however if extended. What is Transversal? :- A line which intersect two or more lines at distinct points is called Transversal. Let’s Go through the property of Parallel Lines.
- 9. Properties Corresponding angle (∠1, ∠5), (∠2, ∠6), (∠3, ∠7) & (∠4, ∠8) Alternate Interior angle (∠3, ∠5) & (∠4, ∠6) Alternate Exterior angle (∠2, ∠8) & (∠1, ∠7) Consecutive interior angle (∠3, ∠6) & (∠4, ∠5) Linear Property Sum of all angles on a line = 180°
- 10. Theorem : If two parallel lines are intersected by a transversal, then (i) The angles of each pair of corresponding angle are equal , i.e., (∠1, ∠5), (∠2, ∠6), (∠3, ∠7) & (∠4, ∠8). (ii) The angles of each pair of alternate interior angle are equal i.e., (∠3= ∠5) and (∠4 = ∠6). (iii) the sum of two consecutive interior angles is 180°. i.e., (∠3+ ∠6) = 180° and (∠4 + ∠5) = 180°.
- 12. Properties of Triangles. At first, we should know, What is a Triangle? A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. Triangles are divided into two basis: On the basis of length of Sides. On the basis of the angles of sides.
- 13. On the basis of sides. (i) Equilateral triangle: An equilateral triangle is a triangle that has all equal sides. (i) Equilateral triangle (ii) Isosceles triangle (iii) Scalene triangle (ii) Isosceles triangle: An isosceles triangle is a triangle that has two equal sides. The following is an isosceles triangle
- 14. (iii) Scalene triangle: A scalene triangle is a triangle that has no equal sides. The following is a scalene triangle
- 15. On the basis of Angles. (i) Acute Triangle (ii)Right triangle (iii) Obtuse Triangle (i) Acute triangle: In an acute triangle, all angle are less than 90°, so all angles are acute angles. (ii) Right triangle: A right triangle has one angle measure 90° in angle.
- 16. (iii) Obtuse triangle: An obtuse triangle has one angle that is bigger than 90 degrees.
- 17. Therefore: A triangle cannot have more than one right angle: A triangle cannot have more than one obtuse angle: In a right angled Triangle, the sum of two acute angle is 90°.
- 19. Now I would like to end my Power point, as there is no end of Mathematics hence My presentation will also not end. I’m sure that you would have got the concept of the chapters like Lines & Angles, Properties of parallel Lines & Properties of Triangles. Thank You….!
- 20. Maths Project By :- Name :- Chandra Prakash Garg Class :- VII ‘A’ Roll :- 14 Sub :- Maths Submitted to :- Mr. Ranjeet Sir