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Edm 1 lines and angles

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Edm 1 lines and angles

1. 1. Lines and Angles<br />
2. 2. Lines are everywhere…<br />
3. 3. Line segments can be measured from beginning to end.<br />A<br />B<br />We mark a line segment with points<br />Those points are labeled with letters<br />We can name this line segment either:<br />AB<br />BA<br />
4. 4. Lines vs. Line Segments<br />Lines are different from line segments.<br />We can see the beginning and ending of a line segment.<br />Lines extend on forever<br />To show the difference between a line and a line segment we use arrows instead of points<br />A<br />B<br />We name a line by showing the arrows:<br />AB<br />
5. 5. A<br />B<br />D<br />C<br />Two line segments are shown here<br />AB<br />CD<br />
6. 6. When lines or line segments meet…<br />A<br />B<br />D<br />C<br />They intersect to form angles…<br />
7. 7. The point at the intersection is called the vertex.<br />E<br />A<br />D<br />B<br />When we name the angle, the vertex must be in the middle<br />C<br />
8. 8. The point at the intersection is called the vertex.<br />AED<br />E<br />A<br />D<br />B<br />When we name the angle, the vertex must be in the middle<br />or<br />C<br />DEA<br />Point E, the vertex, is <br />always<br />in the middle<br />
9. 9. X<br />Notice any angles?<br />Y<br />A<br />C<br />P<br />BAC<br />XYZ<br />PQR<br />JHI<br />Q<br />Z<br />R<br />B<br />J<br />I<br />Name these angles…<br />H<br />
10. 10. A<br />B<br />D<br />C<br />When 2 line segments meet to form a 90° angle they called perpendicular <br />line segments<br />
11. 11. A<br />90°<br />90°<br />90°<br />90°<br />B<br />D<br />C<br />Perpendicular lines intersect to form a 90° angle also referred to as a right angle.<br />You can check if the angle right by holding up a piece of notebook paper.<br />
12. 12. Perpendicular<br />A<br />90°<br />B<br />D<br />C<br />Where do we see right angles?<br />
13. 13. Perpendicular<br />A<br />B<br />D<br />C<br />Where do we see right angles?<br />
14. 14. Let’s Look at the Strata Center again…<br />Notice many perpendicular lines?<br />Not quite 90°<br />A<br />A<br />Smaller than 90° again.<br />B<br />B<br />D<br />D<br />C<br />C<br />
15. 15. A<br />A<br />B<br />B<br />D<br />D<br />C<br />C<br />
16. 16. A<br />A<br />B<br />B<br />D<br />D<br />C<br />C<br />
17. 17. Acute Angle = Less than 90°<br />A<br />A<br />B<br />B<br />D<br />D<br />C<br />C<br />Both of these angles are smaller than 90°<br />Angles smaller than 90° are called acute<br />
18. 18. What about angles larger than 90°?<br />
19. 19. What about angles larger than 90°?<br />Angles larger than 90° are called obtuse<br />Notice all of the extra room?<br />
20. 20. If you extend these two lines segments will they ever touch?<br />Right, if they did what might happen?<br />
21. 21. When two line segments on the same plane never touch they are called<br />Parallel<br />Lots of parallel lines<br />
22. 22. Do these lines intersect?<br />But, if you extend them outward, would they intersect?<br />Are these lines parallel?<br />No, but actually they are. It’s just the angle of the picture.<br />
23. 23. Examples of Parallel Lines<br />