Lines and angles

PRESENTATION ON LINES AND ANGLE FOR CLASS 8TH. HOPE IT WILL HELP IN YOUR PROJECTS
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1. LINES AND ANGLES By Navjot kaur Class 8 th

2. LINES AND ANGLES Introduction Angles in daily life Basic terms and definition Points Intersecting lines and non intersecting lines Angles Parallel lines and a transversal

3. ANGLES IN DAILY LIFE

4. INTRODUCTION In Maths geometry, the lines and angles are important tools. If any object in ideal ,that is called as line and it is represented as straight curve . The angles is related with lines that is the cross section of two lines is create the angle and intersection point is called as vertex . Here we see about types of lines and angle in M aths .

5. BASIC TERMS AND DEFINITION lines : a straight path extending in both directions with no endpoints Line segment : a part of a line that includes two points, called endpoints, and all the points between them. Ray : a part of a line , with one endpoint, that continues without end in one direction

6. Intersecting lines and non intersecting lines Intersecting lines : lines that cross Non intersecting lines : lines that never cross and are always the same distance apart.

7. points An exact point or location

8. Examples of non intersecting lines Hardwood floor Opposite sides of windows, tables, etc. Parking slots in parking lot Parallel parking Streets

9. Perpendicular lines Two lines that intersect to form four right angles

10. Examples of perpendicular lines Window panes Streets of cities

11. Angles In geometry, an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. The magnitude of the angle is the “amount of rotation “ that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other .

12. Types of angles Acute angle Right angle Obtuse angle Straight angle Reflex angle Adjacent angles Linear pair Vertically opposite angle

13. Acute angle The measure of an angle with a measure between 0 degree and 90 degree with less than 90 degree radians.

14. Right angle An angle formed by the perpendicular intersection of two straight lines; an angle of 90 degree

15. Obtuse angle Angle measure greater than 90 degree but less than 180 degree.

16. Straight angle A straight angle changes the direction to point the opposite way. It looks like a staight line. It measures 180 degree

17. Reflex angles A reflex angle is more than 180 but less than 360 degree

18. Adjacent angles In geometry adjacent often shortened as adj. are angles that have a common ray coming out of the vertex going between two other rays. In other words they are that are side by side or adjacent.

19. Linear pairs of angles A pair of adjacent angle formed by intersecting lines. Linear pairs of angles are supplementary.

20. Vertically opposite angles In geometry a pair of angle is said to be vertical if the angles are formed from two intersecting lines and the angles are not adjacent . They all share a vertex . Such angles are equal in measure and can be described as congurent .

21. TRANSVERSAL TRANSVAERSAL : A transversal or a line that intersects two or more coplanar lines each at a different point, is a very useful line in geometry. Transversal tell us a great deal about angles.

22. Parallel lines Parallel lines: parallel lines remain the same distance apart over their length . No matter how far you extend them, they will never meet Corresponding angles Alternate interior angles Alternate exterior angles Interior angles on the same side of the transversal

23. Corresponding angles The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

24. Alternate exterior angles When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines and the angles in each pair arecongurent .

25. Interior angles on the same side of the tranversal Interior angles on the same side of the transversal are also referred to as consecutive interior angles or allied angles or co-interior angles. Further,many a tines, we simply use the words alternate angles for alternate interior angles.

26. THE END THANK YOU FOR WATCHING