4.5 Triangle Inequality Theorem

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°
• 90°
• 180°
• 360°

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

Find the measure of the indicated angle. 

• 95
• 85
• 35
• 45

​Mute your Chromebooks & close your screens for the video
(if you are re-doing the lesson ignore and watch the video)

Slide to change slide length and move blue/purple dots to rotate angles. Can you move the points in the construction so that segments a, b, and c form a triangle?

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Multiple Choice

Can the sides of a triangle have lengths

8, 12, 22?

• yes

• no

Multiple Choice

Can the sides of a triangle have lengths

1, 1, 2?

• yes

• no

Multiple Choice

Can the sides of a triangle have lengths

3, 4, 5?

• yes

• no

Multiple Choice

Can the sides of a triangle have lengths

10, 15, 20?

• yes

• no

Multiple Select

Select all possible values of x.

• 2

• 3

• 5

• 10

• 12

Multiple Select

Select all possible values of x.

• 8

• 10

• 12

• 14

• 15

Multiple Select

Select all possible values of x.

• 4

• 5

• 8

• 11

• 12

Multiple Select

Select all possible values of x.

• 4

• 5

• 8

• 9

• 15