1. Applied Geometry Lesson 3 – 4 Adjacent Angles and Linear Pairs of Angles Objective: Learn to identify and use adjacent angles and linear pairs of angles.

2. Adjacent Angles Adjacent angles: Angles that share a common side and have the same vertex, but have no interior points in common.

3. Determine whether angles 1 and 2 are adjacent. No, do not share a common side Yes No, angles do not share a vertex or side.

4. Determine whether angles 1 and 2 are adjacent. No, angles do not share a side. No, angles do not share a vertex.

5. Determine whether angles 1 and 2 are adjacent. No, angles do not share a side. Yes No, angles do not Share a vertex.

6. Determine whether the pair of angles are adjacent. A B C D E Yes No, can’t have one angle inside the other.

7. Linear Pair Linear Pair: Two angles form a linear pair if and only if they are adjacent and their noncommon sides are opposite rays.

8. Example In the figure, CM and CE are opposite rays. Name the angle that forms a linear pair with angle 1 Do form a linear pair? Justify your answer. *Hint: what completes the 180 degrees or straight line No, they do not form a linear pair. The two angles do not add up to be 180 and do not create opposite rays.

9. Your turn Name the angle that forms a linear pair with Tell whether form a linear pair. Justify your answer. Yes, they are adjacent and their noncommon sides are opposite rays.

10. Your Turn Name the angle that forms a linear pair with Do form a liner pair? Justify your answer. No, they are not adjacent angles.

11. Real world problem The John Hancock Center in Chicago, Illinois, contains many types of angles. Describe the highlighted angles. The angles are adjacent and form a linear pair.

12. Real World Name examples of linear pairs in real world. (classroom etc.)

13. Homework Pg. 112 1 – 7 all, 8 – 26 E