Unique, Many, or No Triangles and Angle Relationships

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What are the conditions for forming a triangle with side lengths a, b, and c?

Back

The conditions are: a + b > c, a + c > b, and b + c > a.

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed with a specific set of side lengths or angle measures.

Front

How many triangles can be formed with angle measures of 60°, 60°, and 60°?

Back

Exactly one unique triangle can be formed.

Front

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

Back

The sum of the interior angles of a triangle is always 180°.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90°.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90°.