Hinge Theorem and Inequalities in a Triangle

Which side is longer, AD or DC ?

•  AD

• DC 

Which side is longer, NM or MP ?

• NM

• MP

Who is closer to the airport?

• You

• Your friend

Which angle has biggest measure?

Which angle has biggest measure?

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

• Less than

• Greater than

• Equal to 

• Half of

Compare $m\angle ACD\ and\ m\angle GDE$

Compare QT and ST