THEOREMS ON TRIANGLE INEQUALITIES

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Tags

CCSS.7.G.A.2

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

Where would the largest angle of a triangle be located?

• Across from the longest side.
• Across from the shortest side
• I need more information to get an answer.

Tags

CCSS.HSG.CO.C.10

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

Which two angles are the remote interior angles to Angle W?

• Angle X and Angle Y

• Angle X and Angle Z

• Angle Y and Angle Z

• Angle Z and Angle W

Tags

CCSS.8.G.A.5

Use the figure to determine which of the following angles has the greatest measure:  $\angle\ 4,\ \angle\ 8,\ \angle9$  

•  $\angle4$  

•  $\angle8$  

•  $\angle9$  

• Not enough information

Tags

CCSS.7.G.B.5

What angle has a measure greater than $m\angle8$ ? 

•  $m\angle5$  

•  $m\angle6$  

•  $m\angle3$  

•  $m\angle7$  

Tags

CCSS.8.G.A.5

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

• $m\angle ACB\ >\ m\angle GDE$

• $m\angle ACD\ <\ m\angle GDE$

• $m\angle ACB\ =\ m\angle GDE$

• $\angle ACB\ \cong\ \angle GDE$

Tags

CCSS.8.G.A.2

Compare QT and ST

• $QT\ <\ ST$

• $QT\ >\ ST$

• $QT\ =\ ST$

• $\overline{QT}\ \cong\ \overline{ST}$

Tags

CCSS.HSG.CO.C.9

Which of the following terms best describes Angle d? (remember that it's outside)

• Remote interior angle
• Corresponding angle
• Exterior angle
• Interior angle

Tags

CCSS.8.G.A.5