Classify Triangles, Triangle Sum Theorem, Triangle Inequality Theorem

The sum of the interior angles in a triangle is ...

• 360 degrees

• 180 degrees

• 90 degrees

• 540 degrees

Equilateral triangles ...

• have three angles that are the same measure

• have three side lengths that are the same measure

• have only acute angles

• have three angles that are each 60 degrees

How do you classify this triangle?

• acute

• obtuse

• right

• scalene

What is the measure of angle a?

• 180

• 60

• 30

• 50

The Triangle Inequality Theorem helps to determine which of the following?

• The exact angles of a triangle

• Whether a set of three lengths can form a triangle

• The area of a triangle

• The perimeter of a triangle

Classify the triangle with sides of lengths 7 cm, 7 cm, and 7 cm.

• Equilateral

• Isosceles

• Scalene

• Right-angled

Which of the following sets of side lengths does NOT satisfy the triangle inequality theorem?

• 3, 4, 5

• 5, 12, 13

• 8, 15, 22

• 1, 2, 3

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be...

• equal to the length of the third side.

• greater than the length of the third side.

• less than the length of the third side.

• equal to or less than the length of the third side.

Which set of side lengths violates the triangle inequality theorem?

• 6, 8, 14

• 7, 24, 25

• 3, 4, 5

• 10, 6, 5

The triangle can be classified as (a)   and ​ ​ ​ (b)   .​

(PUT ANGLE FIRST, THEN SIDE)

• Obtuse

• Scalene

• Equilateral

• Equiangular

• Isosceles

• Right