Triangle Properties and Inequalities

Front

What is the first step of an indirect proof?

Back

Assume the negation of what you are trying to prove.

Front

Can the sides of a triangle have lengths 3, 8, and 9?

Back

Yes.

Tags

CCSS.7.G.A.2

Front

Where is the largest angle of a triangle located?

Back

Across from the longest side.

Tags

CCSS.HSG.CO.C.10

Front

What does the exterior angle theorem state?

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

What is the triangle inequality theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If one side of a triangle is 10 and another is 15, what is the range of possible lengths for the third side?

Back

The length must be greater than 5 and less than 25.

Front

What is the relationship between the angles and sides of a triangle?

Back

The larger the angle, the longer the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If two angles of a triangle are 50 degrees and 60 degrees, what is the third angle?

Back

70 degrees.

Tags

CCSS.8.G.A.5

Front

What is a scalene triangle?

Back

A triangle with all sides of different lengths.

Tags

CCSS.4.G.A.2