triangle inequalities and hinge theorem

Select all that are TRUE. You will want to write this one out on paper!

• AB > AE

• BE > CE

• BE > CD

• CD < DE

• CE > BC

Find the largest side in Δ BCD

• Segment BC
• Segment DB
• Segment DC
• Segment AB

Name this triangle by its angles and sides.

• acute, scalene

• acute, isosceles

• obtuse, equilateral

• equiangular, equilateral

Using the Hinge Theorem, compare QT and ST

Find the largest side in Δ BCD

• Segment BC
• Segment DB
• Segment DC
• Segment AB

Given: $\overline{AD}\cong\overline{BC}$  and  $m\angle DAC\ >\ m\angle ACB$  which statement below is true based on the Hinge Theorem?

•  $m\angle DCA>m\angle BAC$  

•  $AB>DC$  

•  $m\angle ADC>m\angle CBA$  

•  $DC>AB$  

Name this triangle by its sides.

• scalene

• isosceles

• equilateral

• obtuse

Identify the smallest angle.

• ∠K
• ∠L
• ∠M

Choose the TRUE statement.

• $m\angle HGI\ >\ m\angle JGI$

• $m\angle HGI\ \ <\ \ m\angle JGI$

• $m\angle HGI=m\angle JGI$

• The above statements are all false.

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

• Less than
• Greater than
• Equal to 
• Half of