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2.2 Triangle Theorems (Inequality Theorem) - Quiz
Contributed by: Rzepka
(Original author: Cason)

The sum of the angles for any triangle is 180 degrees.

If we know two angles, we can total and subtract from

180 to get the missing angle.  Find the missing angle

measurement.

23
o
o

39

o

  180

 - 62

  118

   39

+ 23

   62 

The sum of the angles for any triangle is 180 degrees.

If we know two angles, we can total and subtract from

180 to get the missing angle.  Find the missing angle

measurement.

40

o
o

The longest side of a triangle is always directly across

from the largest angle.  The shortest side of the triangle

is always directly across from the smallest angle.   The

medium side is directly across from the medium angle.  

Name the medium side.

C

23º
A

118º

 AB

 BC

 AC

39º

B

The longest side of a triangle is always directly across

from the largest angle.  The shortest side of the triangle

is always directly across from the smallest angle.   The

medium side is directly across from the medium angle.  

Name the shortest side.

D

53º

60º

F

67º

E

 DE

 EF

 DF

The longest side of a triangle is always directly across

from the largest angle.  The shortest side of the triangle

is always directly across from the smallest angle.   The

medium side is directly across from the medium angle.  

Name the longest side.

L

53º

60º

67º

M

N

 LN

 LM

 NM

Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{6, 8, 13}
Yes
Not enough information
No
Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{2, 12, 9}
Yes
Not enough information
No
Can the following be the side lengths of a triangle?
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
{15, 7, 8.5}
Yes
Not enough information
No
The three sides of a triangle are {10, x, 8}.Which inequalities can be written? Select two!
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
x + 8 > 10
8 + 10 ≥ x
10 + x > 8
10 + 8 > x
x > 10 + 8
The three sides of a triangle are {10, x, 8}Write a compound inequality that shows the range of possible values for x.
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
< x < 
The three sides of a triangle are {3, 10, x}.Write a compound inequality that shows the range of possible values for x.
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the length of the third side.
< x < 
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