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Grade 7 โ€“ Mathematics
Quarter III
SUBSETS OF A LINE
SUBSETS OF
A LINE
Prepared by:
Jo-Ann E. Rogon
SUBSETS OF A LINE
Line Segment Rays Opposite Rays
SUBSETS OF A LINE
Line Segment
- A subset of a line consisting of two
endpoints and all the points in between.
1. Name the different line segments
given 3 points.
Answer: Line segments EF, EG and FG.
2. How many line
segments can be formed
given 4 points?
6 line segments
where n is the number of points in
a given line.
๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐’๐’Š๐’๐’† ๐’”๐’†๐’ˆ๐’Ž๐’†๐’๐’•๐’” =
๐’ ( ๐’ โˆ’ ๐Ÿ)
๐Ÿ
๐’ ( ๐’ โˆ’๐Ÿ)
๐Ÿ
=
๐Ÿ’ ( ๐Ÿ’ โˆ’๐Ÿ)
๐Ÿ
=
๐Ÿ’ (๐Ÿ‘)
๐Ÿ
=
๐Ÿ๐Ÿ
๐Ÿ
= 6 line segments
Find the number of line segments
formed in a given line withโ€ฆ
1. 6 points
2. 8 points
3. 9 points
4. 10 points
5. 15 points
15 line segments
28 line segments
36 line segments
45 line segments
105 line segments
Two line segments are said to be
congruent segments if they have the
same measure or length.
SUBSETS OF A LINE
Ray
- A subset of a line with only one endpoint
and extends infinitely in only one direction.
Name all the rays given 3 points?
- without listing the different rays, we can
find the number of rays formed in a given
line.
๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐‘น๐’‚๐’š๐’” ๐’Š๐’ ๐’•๐’‰๐’† ๐’ˆ๐’Š๐’—๐’†๐’ ๐’๐’Š๐’๐’†
= ๐Ÿ(๐’ โˆ’ ๐Ÿ)
๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐‘น๐’‚๐’š๐’” ๐’Š๐’ ๐’•๐’‰๐’† ๐’ˆ๐’Š๐’—๐’†๐’ ๐’“๐’‚๐’š
= (๐’ โˆ’ ๐Ÿ)
SUBSETS OF A LINE
Opposite Rays
- Are rays with a common endpoint but
extending infinitely in opposite directions.
Determine the number of line segments and
rays formed in a given line withโ€ฆ
1. 5 points
2. 7 points
3. 16 points
4. 19 points
5. 25 points

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Subsets of A Line

  • 1. Grade 7 โ€“ Mathematics Quarter III SUBSETS OF A LINE
  • 2. SUBSETS OF A LINE Prepared by: Jo-Ann E. Rogon
  • 3. SUBSETS OF A LINE Line Segment Rays Opposite Rays
  • 4. SUBSETS OF A LINE Line Segment - A subset of a line consisting of two endpoints and all the points in between.
  • 5. 1. Name the different line segments given 3 points. Answer: Line segments EF, EG and FG. 2. How many line segments can be formed given 4 points? 6 line segments
  • 6. where n is the number of points in a given line. ๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐’๐’Š๐’๐’† ๐’”๐’†๐’ˆ๐’Ž๐’†๐’๐’•๐’” = ๐’ ( ๐’ โˆ’ ๐Ÿ) ๐Ÿ ๐’ ( ๐’ โˆ’๐Ÿ) ๐Ÿ = ๐Ÿ’ ( ๐Ÿ’ โˆ’๐Ÿ) ๐Ÿ = ๐Ÿ’ (๐Ÿ‘) ๐Ÿ = ๐Ÿ๐Ÿ ๐Ÿ = 6 line segments
  • 7. Find the number of line segments formed in a given line withโ€ฆ 1. 6 points 2. 8 points 3. 9 points 4. 10 points 5. 15 points 15 line segments 28 line segments 36 line segments 45 line segments 105 line segments
  • 8. Two line segments are said to be congruent segments if they have the same measure or length.
  • 9. SUBSETS OF A LINE Ray - A subset of a line with only one endpoint and extends infinitely in only one direction.
  • 10. Name all the rays given 3 points? - without listing the different rays, we can find the number of rays formed in a given line.
  • 11. ๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐‘น๐’‚๐’š๐’” ๐’Š๐’ ๐’•๐’‰๐’† ๐’ˆ๐’Š๐’—๐’†๐’ ๐’๐’Š๐’๐’† = ๐Ÿ(๐’ โˆ’ ๐Ÿ) ๐‘ต๐’–๐’Ž๐’ƒ๐’†๐’“ ๐’๐’‡ ๐‘น๐’‚๐’š๐’” ๐’Š๐’ ๐’•๐’‰๐’† ๐’ˆ๐’Š๐’—๐’†๐’ ๐’“๐’‚๐’š = (๐’ โˆ’ ๐Ÿ)
  • 12. SUBSETS OF A LINE Opposite Rays - Are rays with a common endpoint but extending infinitely in opposite directions.
  • 13. Determine the number of line segments and rays formed in a given line withโ€ฆ 1. 5 points 2. 7 points 3. 16 points 4. 19 points 5. 25 points