Angles You will learn to name and identify parts of an angle . What You'll Learn 1) Opposite Rays 2) Straight Angle 3) Angle 4) Vertex 5) Sides 6) Interior 7) Exterior Vocabulary

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common.

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays X Y Z XY and XZ are ____________.

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays X Y Z XY and XZ are ____________.

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays The figure formed by opposite rays is also referred to as a ____________. X Y Z XY and XZ are ____________.

Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays The figure formed by opposite rays is also referred to as a ____________. straight angle X Y Z XY and XZ are ____________.

Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. S T

Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle S T

Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, S T

Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, vertex S T

Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, vertex and the two rays that make up the sides of the angle are called the sides of the angle. side side S T vertex

Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF

Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF FED

Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF E FED

Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF 2 E FED

Angles 1) Name the angle in four ways. B A 1 C

Angles 1) Name the angle in four ways. B A 1 C ABC

Angles 1) Name the angle in four ways. B A 1 C ABC CBA

Angles 1) Name the angle in four ways. B A 1 C ABC CBA

Angles 1) Name the angle in four ways. B A 1 C ABC B CBA

Angles 1) Name the angle in four ways. B A 1 C ABC 1 B CBA

Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. B A 1 C ABC 1 B CBA

Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. Point B vertex: B A 1 C ABC 1 B CBA

Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. Point B vertex: sides: B A 1 C ABC 1 B CBA BA and BC

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 XWZ

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWZ

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWY or YWX XWZ

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWY or YWX 3) Is there an angle that can be named ? W XWZ

Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 No! 1 2 2) What are other names for ? 1 XWY or YWX 3) Is there an angle that can be named ? W XWZ

Angles An angle separates a plane into three parts: 1) the ______ W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ interior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior A B interior W Y Z

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior exterior exterior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior exterior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself exterior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. exterior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. Point A and all other points in the green region are in the exterior of the angle. exterior interior W Y Z A B

Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. Point A and all other points in the green region are in the exterior of the angle. Points Y, W, and Z are on the angle. exterior interior W Y Z A B

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? G P

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior G P

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? G P

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle G P

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle Is point P in the interior of the angle, exterior of the angle, or on the angle? G P

Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle Is point P in the interior of the angle, exterior of the angle, or on the angle? Interior G P

§3.7 Perpendicular Lines End of Lesson