7.G.2 Flashcard

Front

What is the Triangle Inequality Theorem?

Back

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

Front

Which set of side lengths can form a triangle?

Back

A set of side lengths can form a triangle if they satisfy the Triangle Inequality Theorem.

Front

What are the conditions for a set of lengths to not form a triangle?

Back

A set of lengths does not form a triangle if the sum of the lengths of any two sides is less than or equal to the length of the third side.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

Can an equilateral triangle be obtuse?

Back

No, an equilateral triangle cannot be obtuse because all its angles are equal to 60 degrees.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

How do you determine the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

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

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

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 degrees.

Front

How can you classify triangles based on their angles?

Back

Triangles can be classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (one angle greater than 90 degrees).