M2 Semester 1 Review #1 24-25

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

If a triangle has sides of lengths a, b, and c, what is the range for the length of the third side?

Back

The length of the third side must be greater than |a - b| and less than a + b.

Front

What is the measure of an exterior angle of a polygon?

Back

The measure of an exterior angle of a polygon is equal to 360° divided by the number of sides.

Front

How do you calculate the measure of an exterior angle of a regular polygon with n sides?

Back

Exterior angle = 360° / n.

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 is the relationship between interior and exterior angles of a polygon?

Back

An exterior angle of a polygon is equal to the sum of the two non-adjacent interior angles.

Front

How do you find the value of x in an equation involving angles?

Back

Set up the equation based on the relationships between the angles and solve for x.

Front

What is the definition of a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

Front

What is the formula for finding the measure of each interior angle of a regular polygon?

Back

Interior angle = (n - 2) * 180° / n, where n is the number of sides.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.