Make the following creations with your gumdrops and toothpicks!

Line Ray Line Segment Point

8/29/12

Make the following creations with your gumdrops and toothpicks!

Acute Angle Obtuse Angle Straight Angle Right Angle

8/29/12

Make the following creations with your gumdrops and toothpicks!

Complementary Angles Supplementary Angles

8/29/12

Make the following creations with your gumdrops and toothpicks!

Construct two congruent figures using all of your materials.

8/29/12

Around the World!

8/29/12

Poin t

8/29/12

Right Angle

8/29/12

Ra y

8/29/12

Angl e

8/29/12

Vert ex

8/29/12

Congrue nt

8/29/12

Lin e

8/29/12

An angle that is greater than 90o and less than 180o

Obtuse
8/29/12

An exact location.

Point
8/29/12

Flat surface that has no thickness and extends forever

Plane
8/29/12

If the sum of two angles is 180o

Supplementary Angles
8/29/12

An angle that measures exactly 90o

Right Angle
8/29/12

Two rays with a common endpoint

Angle
8/29/12

The sum of two angles is 90o

Complimentary Angles
8/29/12

A Right Angle measures ____ degrees

90 degrees
8/29/12

The common endpoint of two rays.

Vertex

8/29/12

A part of a line that has one endpoint and extends forever in one direction.

Ra y
8/29/12

Line
A straight path that has no thickness and extends forever in opposite directions.
8/29/12

An angle that measures exactly 180o

Straight Angle
8/29/12

An angle that is greater than 0o and less than 90o

Acute

8/29/12

Congruent
Two figures that have the same shape and size.
8/29/12

A part of a line or a ray that extends from one endpoint to another.

Ra y
8/29/12

Angles A and B are supplementary angles. If <A = 100o what must <B equal?

8/29/12

<A + <B = 180o 100o+ <B = 180o

Angles A and B are complementary angles. If <A = 70o what must <B equal?

8/29/12

<A + <B = 90o 70o+ <B = 90o

Angles A and B are supplementary angles. If <A = 20o what must <B equal?

8/29/12

<A + <B = 180o 20o+ <B = 180o

Angles A and B are complementary angles. If <A = 85o what must <B equal?

8/29/12

<A + <B = 90o 85o+ <B = 90o

Complementary Angles and Supplementary Angles

8/29/12

Supplementary Angles
Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other.
1 2

These are supplements of each other because their angles add up to 180. 8/29/12

Example 1

Find the value of x.

8/29/12

Example 2

Find the value of x.

8/29/12

Example 3

Find the value of x.

8/29/12

Complementary Angles
Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other.
1 2

These are complements of each other because their angles add up to be 90. 8/29/12

Example 4

Find the value of x.

8/29/12

Example 5

Find the value of x.

8/29/12

SWAT It!
Geometry Game for Lines and Angles Click to edit Master subtitle style

8/29/12

Acute Angle
A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 90o directions. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one 8/29/12 extends 180o direction.

Line Segment
A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 90o directions. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one 8/29/12 extends 180o direction.

Supplementary Angles
A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 90o directions. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one 8/29/12 extends 180o direction.

Straight Angle
A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 90o directions. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one 8/29/12 extends 180o direction.

90 degree angle
A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 90o directions. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one 8/29/12 extends 180o direction.

Point
Two figures that have the same shape and size. An exact location. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Plane
Two figures that have the same shape and size. An exact location. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Obtuse Angle
Two figures that have the same shape and size. An exact location. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Right Angle
Two figures that have the same shape and size. An exact location. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Line
Two figures that have the same shape and size. An exact location. A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Congruent
A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Ray
A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Complementary Angles
A part of a line Flat surface If the sum of If the sum of Two rays with that has one endpoint and that has no two angles is two angles is a common extends thickness and 90o 180o endpoint forever in one extends direction. forever A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Vertex
A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Angle
A part of a line Flat surface If the sum of Two rays with that has one endpoint and that has no two angles is If the sum of a common extends thickness and 90o endpoint two angles is forever in one extends 180o direction. forever A part of a line or a ray that An angle that extends from A Right Angle is greater than one endpoint 90o and less to another. than 180o

Two figures that have the same shape and size.

An exact location.

A straight path An angle that that has no An angle that An angle that The common thickness and is greater than measures measures endpoint of extends exactly 180o 0o exactly 90o two rays. forever in and less than opposite 8/29/12 90o directions.

Speed Round
8/29/12

Obtuse Angle
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

90 0
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Acute Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Supplementary Angles
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Congrue nt
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Straight Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

Ra y
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

Vert ex
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Plan e
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Complementary Angles
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Lin e
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Line Segment
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

Obtuse Angle
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

90 0
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Acute Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Supplementary Angles
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Congrue nt
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Straight Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

Ra y
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

Vert ex
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Plan e
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Complementary Angles
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Lin e
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Line Segment
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

Obtuse Angle
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

90 0
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Acute Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Supplementary Angles
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Congrue nt
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Straight Angle
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

Ra y
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

An angle that measures exactly 180o

Vert ex
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Plan e
<A + <B = 180o The common endpoint of two rays.

A right angle

An angle that measures exactly 180o 8/29/12

<A + <B = 90o

Complementary Angles
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that measures exactly 180o

Lin e
<A + <B = 90o

<A + <B = 180o

A right angle

The common endpoint of two rays.

8/29/12

Line Segment
A right angle An angle that measures exactly 180o

The common endpoint of two rays.

<A + <B = 90o

<A + <B = 180o

8/29/12

An angle that A Right Angle is less than 90o And greater than 180o Flat surface that has no thickness and extends forever An angle that measures exactly 180o 8/29/12

<A + <B = 180o

<A + <B = 90o An angle that is greater than 0o and less than 90o

<A = 90o

The common endpoint of two rays.