Applied Geometry Lesson 3 4 Adjacent Angles and

Adjacent Angles Adjacent angles: l Angles that share a common side and have the

Determine whether angles 1 and 2 are adjacent. No, do not share a common

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

Determine whether the pair of angles are adjacent. A B C E D Yes

Linear Pair: l Two angles form a linear pair if and only if they

Example In the figure, CM and CE are opposite rays. Name the angle that

Your turn Name the angle that forms a linear pair with Tell whether form

Your Turn Name the angle that forms a linear pair with Do Justify your

Real world problem The John Hancock Center in Chicago, Illinois, contains many types of

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

Slides: 13

Download presentation

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.

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

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.

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

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

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

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

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

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.

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

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.

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

Homework Pg. 112 1 – 7 all, 8 – 26 E