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Lines and angles

Oct 31, 2014

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Education

Azam Khan

Grade 9
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Page 1: Lines and angles
Page 2: Lines and angles

If we look around us, we will see angles everywhere.

Page 3: Lines and angles

•RAY: A part of a line, with one endpoint, that continues without end in one direction

•LINE: 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

Page 4: Lines and angles
Page 5: Lines and angles

Two lines that intersect to form four right angles

Page 6: Lines and angles

•Window Panes•Streets Of Cities

Page 7: Lines and angles

Transversal :- A transversal, or a line that intersects two or more

coplanar lines, each at a different point, is a very useful line in

geometry.  Transversals tell us a great deal about angles. 

Parallel Lines :- Parallel lines remain the same distance apart over their entire 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

Page 8: Lines and 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.

Page 9: Lines and angles

When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and inside the parallel lines, and the angles in each pair are congruent.

Page 10: Lines and angles

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 times, we simply use the words alternate angles for alternate interior angles.

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An exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side.

Page 14: Lines and angles