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1-1a

(over Chapter 2). 1-1a. Slide 1 of 2. (over Chapter 2). 1-1b. Slide 1 of 2. Angles. § 3.1 Angles. § 3.2 Angle Measure. § 3.3 The Angle Addition Postulate. § 3.4 Adjacent Angles and Linear Pairs of Angles. § 3.5 Complementary and Supplementary Angles.

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1-1a

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  1. (over Chapter 2) 1-1a Slide 1 of 2

  2. (over Chapter 2) 1-1b Slide 1 of 2

  3. Angles • § 3.1 Angles • § 3.2 Angle Measure • § 3.3 The Angle Addition Postulate • § 3.4 Adjacent Angles and Linear Pairs of Angles • § 3.5 Complementary and Supplementary Angles • § 3.6 Congruent Angles • § 3.7 Perpendicular Lines

  4. Vocabulary Angles What You'll Learn 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

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

  6. S vertex 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 ofthe angle are called the sides of the angle. side R side

  7. S vertex SRT R TRS 1 T Angles There are several ways to name this angle. 1) Use the vertex and a point from each side. or The vertex letter is always in the middle. side 2) Use the vertex only. 1 If there is only one angle at a vertex, then theangle can be named with that vertex. R side 3) Use a number.

  8. D 2 F DEF 2 E FED E Angles Symbols: Naming Angles (Video)

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

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

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

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

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