lesson 2.1 subsets of lines pp. 42-44
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Lesson 2.1 Subsets of Lines pp. 42-44. Objectives: 1.To define important subsets oflines. 2.To apply the Line Separation Postulate. 3.To use correct notation forsubsets of lines. Definition - PowerPoint PPT PresentationTRANSCRIPT
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Lesson 2.1 Subsets of Lines
pp. 42-44
Lesson 2.1 Subsets of Lines
pp. 42-44
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Objectives:1. To define important subsets of
lines.2. To apply the Line Separation
Postulate.3. To use correct notation for
subsets of lines.
Objectives:1. To define important subsets of
lines.2. To apply the Line Separation
Postulate.3. To use correct notation for
subsets of lines.
![Page 3: Lesson 2.1 Subsets of Lines pp. 42-44](https://reader036.vdocuments.mx/reader036/viewer/2022081421/56814579550346895db24a61/html5/thumbnails/3.jpg)
Definition A half-line is the set of all points on a line on a given side of a given point of the line.
Definition A half-line is the set of all points on a line on a given side of a given point of the line.
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A half-line does not include thepoint from which the half-line originates.
A half-line does not include thepoint from which the half-line originates.
Denoted: ABDenoted: AB
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Postulate 2.1
Line Separation Postulate.Every point divides any line through that point into three disjoint sets: the point and two half-lines.
Postulate 2.1
Line Separation Postulate.Every point divides any line through that point into three disjoint sets: the point and two half-lines.
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Definition A ray is the union of a half-line and its origin. It extends infinitely in one direction from a point.
Definition A ray is the union of a half-line and its origin. It extends infinitely in one direction from a point.
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A ray includes the point from which it originates. A ray includes the point from which it originates.
Denoted: ABDenoted: AB
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The endpoint is always written first when naming a ray. The endpoint is always written first when naming a ray.
Denoted: ABDenoted: AB
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Example: Refer to the figure to find XY {X}. 1. { }2. X3. XY4. XY
Example: Refer to the figure to find XY {X}. 1. { }2. X3. XY4. XY
WW XX YY ZZ
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Example: Refer to the figure to find XY YZ. 1. XY2. YZ3. XY4. XY
Example: Refer to the figure to find XY YZ. 1. XY2. YZ3. XY4. XY
WW XX YY ZZ
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AAKK
LL MM EE
DD
BBHH
IIJJ
CC GG
FF
PPNN
Example 1:Example 1: Name five Name five different lines.different lines.
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Example 2: Example 2: Give two other Give two other names for names for IDID..
AAKK
LL MM EE
DD
BBHH
IIJJ
CC GG
FF
PPNN
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Example 3: Example 3: Name six rays on Name six rays on KPKP..
AAKK
LL MM EE
DD
BBHH
IIJJ
CC GG
FF
PPNN
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Example 4: Example 4: Name six half-Name six half-lines with endpoint lines with endpoint BB..
AAKK
LL MM EE
DD
BBHH
IIJJ
CC GG
FF
PPNN
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Example 5:Example 5: Name five half- Name five half-lines containing lines containing BB..
AAKK
LL MM EE
DD
BBHH
IIJJ
CC GG
FF
PPNN
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Homeworkpp. 43-44
Homeworkpp. 43-44
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AA BB CC DD
5. How many sets are formed on AD by the point C? Name them.
5. How many sets are formed on AD by the point C? Name them.
►A. ExercisesUse the figure below for exercises 4-10.
►A. ExercisesUse the figure below for exercises 4-10.
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7. Explain why BC and BD are the same ray.
7. Explain why BC and BD are the same ray.
►A. ExercisesUse the figure below for exercises 4-10.
►A. ExercisesUse the figure below for exercises 4-10.
AA BB CC DD
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►A. ExercisesUse the figure below for exercises 4-10.
►A. ExercisesUse the figure below for exercises 4-10.
AA BB CC DD
7. Explain why BC and BD are the same ray.
7. Explain why BC and BD are the same ray.
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9. Name AC in two other ways.9. Name AC in two other ways.
►A. ExercisesUse the figure below for exercises 4-10.
►A. ExercisesUse the figure below for exercises 4-10.
AA BB CC DD
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= AB= AB11. Find AB {A} 11. Find AB {A}
►B. ExercisesUse the figure below for exercises 11-18.
►B. ExercisesUse the figure below for exercises 11-18.
AA BB CC DD
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= { }= { }13. CD CA13. CD CA
AA BB CC DD
►B. ExercisesUse the figure below for exercises 11-18.
►B. ExercisesUse the figure below for exercises 11-18.
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►B. ExercisesUse the figure below for exercises 11-18.
►B. ExercisesUse the figure below for exercises 11-18.
15. AC BC15. AC BC = BC= BC
AA BB CC DD
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►B. ExercisesUse the figure below for exercises 11-18.
►B. ExercisesUse the figure below for exercises 11-18.
17. BD CA17. BD CA = AD= AD
AA BB CC DD
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►C. Exercises 20. Name as many rays as
possible in the figure.
►C. Exercises 20. Name as many rays as
possible in the figure.
AAAAIIII HHHH
BBBB
GGGG
FFFF
CCCCDDDD
EEEE
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■ Cumulative ReviewIdentify the undefined term best illustrated in each example.21. a piece of paper
■ Cumulative ReviewIdentify the undefined term best illustrated in each example.21. a piece of paper
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■ Cumulative ReviewIdentify the undefined term best illustrated in each example.22. an electron
■ Cumulative ReviewIdentify the undefined term best illustrated in each example.22. an electron
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■ Cumulative ReviewIdentify the undefined term best illustrated in each example.23. a crease in a garment
■ Cumulative ReviewIdentify the undefined term best illustrated in each example.23. a crease in a garment
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■ Cumulative ReviewIdentify the undefined term best illustrated in each example.24. a ramp for loading a truck
■ Cumulative ReviewIdentify the undefined term best illustrated in each example.24. a ramp for loading a truck
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■ Cumulative ReviewIdentify the undefined term best illustrated in each example.25. a pixel (smallest dot on a computer
screen)
■ Cumulative ReviewIdentify the undefined term best illustrated in each example.25. a pixel (smallest dot on a computer
screen)