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# Edm 1 lines and angles

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### Transcript

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