2. How is a point related to the real world?
o A point is a dot on a specific location.
o A good example of a point in the real world would be an
eyeball of the eye.
3. This is called a point!
When it’s at the end of a line
it is called an endpoint!
4. POINT
● A POINT is an exact location on a graph, shape or in
“space”.
● The Hershey Kiss is a POINT on the line
5. How does a line relate to the real world?
o A line is straight and has no definite measure.
o A road would be an example of a line, because it is straight and
they do end but it could go on and on for a while.
6. How can a Collinear points relate to the real world?
o Collinear points are points that line on the same line.
o A stoplight would be a real world example because the
three lights are on the same line.
7. Collinear Points: Three or more points that lie on
the same line are called collinear points.
Collinear Points
Non-Collinear Points
Y Z X
Y
X
Z
We cannot connect all the points
in one line
We can connect all the points in
one line
Non-Collinear Points
8. Collinear or Not??
A, B, and C are
Collinear Points
E, F and G are
Non-Collinear Points
M, N and O are
Collinear Points
A
B
C
F
G
E
O
N
M
9. Line
A line goes on and on in both directions.
A line is drawn with an arrow on each end
10. Line: a straight path that goes in two
directions without ending.
A B
(AB) or (BA) Read: “Line AB”
11. How can a segment relate to the real world?
o A segment an actual measure, it is straight and it is a part of
a line.
o A crosswalk would be a good example, because it goes from
point a to point B.
12. Line Segment
A line segment is a part of a line. It is
drawn with two endpoints
13. ENDPOINT
● An ENDPOINT is a point at the end of line segment
or semi-straight line.
Endpoint
14. A line segment has two endpoints.
[EF] or [FE]
Read: “Line Segment EF”
E F
15. How can a Semi-Straight Line relate to the real world?
o A Semi-straight line only has one stopping point from the
beginning and has no definite measure
o A stop sign then a road would be a semi-straight line because at
the stop sign you are stopped then you keep going on the road
16. Semi-Straight Line
A Semi-straight line goes on and on in one
direction. It is drawn with an arrow on one end
and an endpoint on the other.
17. A Semi-Straight Line has one end point
and goes on forever in only one direction.
[CD) Read: “Semi-Straight Line [CD)”
C D
18. Identify the type of line:
straight line, semi-straight line, or line segment.
19. Identify the type of line:
straight line, semi-straight line, or line segment.
20. Identify the type of line:
straight line, semi-straight line, or line segment.
21. Identify the type of line:
straight line, semi-straight line, or line segment.
22. Identify the type of line:
straight line, semi-straight line, or line segment.
23. Identify the type of line:
straight line, semi-straight line, or line segment.
26. A B
M
Is M the midpoint of [AB]?
Yes! M is in the middle, look carefully.
It divides the segment into 2 equal parts.
27. A B
M
Is M the midpoint of [AB]?
No! M is not in the middle, look carefully.
It does not divides the segment into 2 equal parts.
28. C D
N
Is N the midpoint of [CD]?
Yes! N is in the middle, look carefully.
It divides the segment into 2 equal parts.
29. C D
N
Is N the midpoint of [CD]?
Yes! N is in the middle, look carefully.
It divides the segment into 2 equal parts.
30. Draw MN = 8 cm
8 cm
M N
Using the ruler!
Start from 0
Done!
Find the midpoint L of [MN]
How??
Divide the segment into 2 equal parts
How??
_+_=8
Remember 2 EQUAL PARTS!
31. Draw MN = 8 cm
8 cm
M N
Using the ruler!
Done!
_+_=8
Remember 2 EQUAL PARTS!
Can I say 2+6=8?
No, they are not equal.. 2 ≠ 6
Mmmm, can I say 3+5?
No, they are not equal.. 3 ≠ 5
32. Draw MN = 8 cm
4 cm
M N
Using the ruler!
Start from 0
Done!
_+_=8
Remember 2 EQUAL PARTS!
Ohhh easy!!
So 4 + 4 = 8
Yesss 4=4!!
Horraayyyy!!
4 cm
8cm
L
Get your ruler again
and measure 4 cm
from point M, then
locate L the midpoint.
So, ML = 4 cm
& LN = 4 cm
So, ML = LN = 4 cm!
33. Draw AB = 10 cm
10 cm
A B
Using the ruler!
Start from 0
Done!
Find the midpoint K of [AB]
How??
_+_=10
Remember 2 EQUAL PARTS!
Okayyy, 5 + 5 = 10
AK = 5 cm, KB = 5 cm
Get your ruler again
and measure 5 cm
from point AK then
locate K the midpoint.
K
5 cm
5 cm
34. Locate the midpoint of each line Segment
G H
M
Remember it will be in the middle
and we will have 2 equal parts
__+__=14
35.
36. Parallel lines are always the same distance
apart. They will never touch.
“Enemy Lines”
Parallel Lines
44. Perpendicular Lines- lines that cross or meet each
other to form square corners (90º angle).
90º/Right
Angle
(ST) ┴ (UV)
S T
U
V Read: “Line (ST) is
perpendicular to line
(UV)”
45. Identify if the lines are parallel, perpendicular, or
intersecting (not at a perpendicular angle).
46. Identify if the lines are parallel, perpendicular, or
intersecting (not at a perpendicular angle).
47. Identify if the lines are parallel, perpendicular, or intersecting
(not at a perpendicular angle).
48. Identify if the lines are parallel, perpendicular, or intersecting
(not at a perpendicular angle).
49. Identify if the lines are parallel, perpendicular, or
intersecting (not at a perpendicular angle).
50. Identify if the lines are parallel, perpendicular, or intersecting
(not at a perpendicular angle).
51. Identify if the lines are parallel, perpendicular, or
intersecting (not at a perpendicular angle).
52. Perpendicular lines are also intersecting lines
because they cross each other.
Perpendicular lines are a special
kind of intersecting lines because
they always form “perfect” right
angles.
90