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Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

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Presentation on theme: "Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?"— Presentation transcript:

1 Geometry: Angle Measures

2 Do Now: What is the distance between R and Q? What is the distance between S and R?

3 Homework  Questions?  Struggles?  Ask Ask Ask!

4 Definitions:  Angle: An angle is formed by two non- collinear rays that have a common endpoint.  Sides: The rays are the sides of the angle  Vertex: The endpoint is called the vertex of the angle.  Ex:

5 Example One:

6 Example Two: Which angles have R as a vertex? What are the sides of <1? What is another name for <SRP?

7 Angles- Four Types  Obtuse Angles: Are greater than 90 degrees but less than 180 degrees.  Ex:

8 Angles- Four Types  Acute Angles: Are less than 90 degrees  Ex:

9 Angles- Four Types  Right Angles: 90 degree angles  Denoted by a little square.  Ex:

10 Angles- Four Types  Straight Angles: 180 degree angle  i.e. a straight line.  EX:

11 Protractors  Steps to measuring an angle:  Line up the vertex with the center point of the protractor.  Line up the zero line on the protractor with one side of the angle.  Extend the other side of the angle using a ruler or straight edge if needed.  Wherever the other side of the angle hits the protractor is the measure of your angle!

12 Using Protractors

13 Protractor Practice

14  Try the other two on your own!

15 Congruent Angles  Congruent Lengths are…..  So…. Congruent angles are……?  Notation:

16 Definition  Segment Addition Postulate says what….?  So…. Angle addition postulate says:  Ex:

17 Example Three:

18 Example Four

19 Practice Problems  Try some angle things on your own!

20 Exit Ticket


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