Geometry - LInes and Angles, Gumdrop Activity and Around the World

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Transcript of Geometry - LInes and Angles, Gumdrop Activity and Around the World

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    a e e o ow ng crea onswith your gumdrops and

    toothpicks! Line

    Ray

    Line

    Segment Point

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    a e e o ow ng crea onswith your gumdrops and

    toothpicks! Acute Angle

    ObtuseAngle

    StraightAngle

    Right Angle

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    a e e o ow ng crea onswith your gumdrops and

    toothpicks!

    Complementary

    Angles

    Supplementary

    Angles

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    a e e o ow ng crea onswith your gumdrops and

    toothpicks!

    Construct two

    congruent figuresusing all of yourmaterials.

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    Around the World!

    Geometry Game for Lines and Angles

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    Poin

    t

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    Right

    Angle

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    Ra

    y

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    Angl

    e

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    Vert

    ex

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    Congrue

    nt

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    Lin

    e

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    An angle that is greaterthan 90o and less than

    180o

    Obtuse

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    An exactlocation.

    Point

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    Flat surface that hasno thickness andextends forever

    Plane

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    If the sum of twoangles is 180o

    SupplementaryAngles

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    An angle thatmeasures exactly

    90o

    RightAngle

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    Two rays with acommonendpoint

    Angle

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    The sum oftwo angles is

    90o

    ComplimentaryAngles

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    A Right Angle

    measures____ degrees

    90 degrees

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    Thecommon

    endpoint oftwo rays.

    Vertex

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    A part of a line thathas one endpoint

    and extends forever

    in one direction.

    Ray

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    A straightpath that hasno thicknessand extends

    forever inopposite

    directions.

    Line

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    An angle thatmeasures

    exactly 180o

    Straight Angle

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    An angle thatis greater than

    0oand less than

    90o Acute

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    Two figures

    that have thesame shape

    and size.

    Congruent

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    A part of a lineor a ray thatextends from

    one endpoint toanother.

    Ray

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    Angles A and B are supplementaryangles.

    If

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    Angles A and B are complementaryangles.

    If

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    Angles A and B are supplementaryangles.

    If

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    Angles A and B are complementaryangles.

    If

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    Complementary Anglesand

    Supplementary Angles

    S l t A l

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    Supplementary Angles

    Two angles are supplementary if the sumof their measures is 180 degrees. Eachangle is the supplementof the other.

    1 2

    These are supplements of each otherbecause their angles add up to 180.

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    Example 1 Find the value of x.

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    Example 2 Find the value of x.

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    Example 3 Find the value of x.

    Complementary Angles

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    Complementary Angles

    Two angles are complementary if the sumof their measures is 90 degrees. Eachangle is the complementof the other.

    1

    2

    These are complements of each otherbecause their angles add up to be 90.

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    Example 5 Find the value of x.

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    SWAT It!

    Geometry Game for Lines and Angles

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    An angle thatmeasures

    exactly 180o

    A straight path

    that has nothickness and

    extendsforever inopposite

    directions.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and less

    than 180o

    Flat surfacethat has no

    thickness and

    extends

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extends

    forever in onedirection.

    Acute Angle

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    An angle thatmeasures

    exactly 180o

    A straight path

    that has nothickness and

    extendsforever inopposite

    directions.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and less

    than 180o

    Flat surfacethat has no

    thickness and

    extends

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extends

    forever in onedirection.

    Line Segment

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    An angle thatmeasures

    exactly 180o

    A straight path

    that has nothickness and

    extendsforever inopposite

    directions.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and less

    than 180o

    Flat surfacethat has no

    thickness and

    extends

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extends

    forever in onedirection.

    Supplementary Angles

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    An angle thatmeasures

    exactly 180o

    A straight path

    that has nothickness and

    extendsforever inopposite

    directions.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and less

    than 180o

    Flat surfacethat has no

    thickness and

    extends

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extends

    forever in onedirection.

    Straight Angle

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    An angle thatmeasures

    exactly 180o

    A straight path

    that has nothickness and

    extendsforever inopposite

    directions.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and less

    than 180o

    Flat surfacethat has no

    thickness and

    extends

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extends

    forever in onedirection.

    90 degree angle

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    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a line

    or a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extendsforever in one

    direction.

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Point

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    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a line

    or a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extendsforever in one

    direction.

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Plane

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    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a line

    or a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extendsforever in one

    direction.

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Obtuse Angle

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    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a line

    or a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extendsforever in one

    direction.

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Right Angle

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    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a line

    or a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a linethat has oneendpoint and

    extendsforever in one

    direction.

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Line

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    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a line

    that has oneendpoint and

    extendsforever in one

    direction.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Congruent

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    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a line

    that has oneendpoint and

    extendsforever in one

    direction.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Ray

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    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90o

    If the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a line

    that has oneendpoint and

    extendsforever in one

    direction.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Complementary Angles

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    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a line

    that has oneendpoint and

    extendsforever in one

    direction.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Vertex

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    Flat surfacethat has no

    thickness andextendsforever

    If the sum oftwo angles is

    90oIf the sum oftwo angles is

    180o

    Two rays witha commonendpoint

    A part of a line

    that has oneendpoint and

    extendsforever in one

    direction.

    Two figuresthat have thesame shape

    and size.

    An exactlocation.

    A part of a lineor a ray thatextends fromone endpointto another.

    A Right Angle

    An angle thatis greater than90o and lessthan 180o

    An angle thatmeasures

    exactly 180o

    A straight paththat has no

    thickness andextends

    forever in

    oppositedirections.

    An angle thatis greater than

    0oand less than

    90o

    An angle thatmeasures

    exactly 90o

    The commonendpoint oftwo rays.

    Angle

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    SpeedRound

    Obt

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    An angle thatmeasures exactly

    180o

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    A right angle

    The commonendpoint of two

    rays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    An angle thatmeasures exactly

    180o

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    80/93

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    81/93

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  • 7/31/2019 Geometry - LInes and Angles, Gumdrop Activity and Around the World

    82/93

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    An angle thatmeasures exactly

    180o

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    83/93

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    84/93

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    An angle thatmeasures exactly

    180o

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    85/93

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  • 7/31/2019 Geometry - LInes and Angles, Gumdrop Activity and Around the World

    86/93

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    87/93

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  • 7/31/2019 Geometry - LInes and Angles, Gumdrop Activity and Around the World

    88/93

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    An angle thatmeasures exactly

    180o

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    89/93

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  • 7/31/2019 Geometry - LInes and Angles, Gumdrop Activity and Around the World

    90/93

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    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    91/93

    8/29/12

    An angle thatmeasures exactly

    180o

  • 7/31/2019 Geometry - LInes and Angles, Gumdrop Activity and Around the World

    92/93

    8/29/12

    A right angleThe common

    endpoint of tworays.

    An angle thatmeasures exactly

    180o

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    93/93

    A Right AngleAn angle thatis less than

    90oAnd greaterthan 180o

    Flat surfacethat has no

    thickness andextendsforever