Geometry: Angles

Angles You will learn to name and identify parts of an angle. 1) Opposite Rays 2) Straight Angle 3) Angle 4) Vertex 5) Sides 6) Interior 7) Exterior Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Angles Opposite rays are two rays that are part of a the same line and have only their ___________ endpoints in common. Angles Opposite rays are two rays that are part of a the same line and have only their ___________ endpoints in common. Y X Z XY and XZ are ____________. Angles Opposite rays are two rays that are part of a the same line and have only their ___________ endpoints in common. Y X Z opposite rays XY and XZ are ____________. Angles Opposite rays are two rays that are part of a the same line and have only their ___________ endpoints in common. Y X Z opposite rays XY and XZ are ____________. The figure formed by opposite rays is also referred to as a ____________. Angles Opposite rays are two rays that are part of a the same line and have only their ___________ endpoints in common. Y X Z opposite rays XY and XZ are ____________. straight angle The figure formed by opposite rays is also referred to as a ____________. Angles There is another case where two rays can have a common endpoint. This figure is called an _____. S R T Angles There is another case where two rays can have a common endpoint. angle This figure is called an _____. S R T Angles There is another case where two rays can have a common endpoint. angle This figure is called an _____. Some parts of angles have special names. The common endpoint is called the ______, S R T Angles There is another case where two rays can have a common endpoint. angle This figure is called an _____. Some parts of angles have special names. The common endpoint is called the ______, vertex S R T Angles There is another case where two rays can have a common endpoint. angle This figure is called an _____. 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. R S side vertex T Angles An angle is a figure formed by two noncollinear rays that have a common endpoint. D Definition of Angle E 2 Symbols: DEF F Angles An angle is a figure formed by two noncollinear rays that have a common endpoint. D Definition of Angle E 2 Symbols: DEF FED F Angles An angle is a figure formed by two noncollinear rays that have a common endpoint. D Definition of Angle E 2 Symbols: DEF FED E F Angles An angle is a figure formed by two noncollinear rays that have a common endpoint. D Definition of Angle E 2 Symbols: DEF FED E F 2 Angles 1) Name the angle in four ways. C A 1 B Angles 1) Name the angle in four ways. ABC A 1 C B Angles 1) Name the angle in four ways. ABC A C CBA 1 B Angles 1) Name the angle in four ways. ABC A C CBA 1 B Angles 1) Name the angle in four ways. ABC A C CBA B 1 B Angles 1) Name the angle in four ways. ABC A C CBA B 1 1 B Angles 1) Name the angle in four ways. ABC A C CBA B 1 1 B 2) Identify the vertex and sides of this angle. Angles 1) Name the angle in four ways. ABC A C CBA B 1 1 B 2) Identify the vertex and sides of this angle. vertex: Point B Angles 1) Name the angle in four ways. ABC A C CBA B 1 1 B 2) Identify the vertex and sides of this angle. vertex: sides: Point B BA and BC Angles 1) Name all angles having W as their vertex. X 1 2 Y W Z Angles 1) Name all angles having W as their vertex. 1 X 1 2 Y W Z Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W Z Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W XWZ Z Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W XWZ 2) What are other names for 1? Z Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W XWZ 2) What are other names for XWY or YWX 1? Z Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W XWZ 2) What are other names for XWY or YWX 1? Z 3) Is there an angle that can be named W? Angles 1) Name all angles having W as their vertex. 1 2 X 1 2 Y W XWZ 2) What are other names for XWY or YWX 1? Z 3) Is there an angle that can be named No! W? Angles An angle separates a plane into three parts: 1) the ______ A Y W Z B Angles An angle separates a plane into three parts: interior 1) the ______ A Y W Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ 2) the ______ A Y W Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W 3) the _________ Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W angle itself 3) the _________ Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W angle itself 3) the _________ In the figure shown, point B and all other points in the blue region are in the interior of the angle. Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W angle itself 3) the _________ 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. Z interior B Angles An angle separates a plane into three parts: interior 1) the ______ exterior exterior 2) the ______ A Y W angle itself 3) the _________ 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. Z interior B Points Y, W, and Z are on the angle. Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? P G B Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior P G B Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior P G B Is point G in the interior of the angle, exterior of the angle, or on the angle? Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior P G B Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior P G B 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? Angles Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior P G B 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 §3.7 Perpendicular Lines