Ordering Sides and Angles in Triangles

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.

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

How do you order the sides of a triangle based on the angles?

Back

To order the sides of a triangle based on the angles, arrange the sides from shortest to longest corresponding to the angles from smallest to largest.

Front

What is the definition of an angle in a triangle?

Back

An angle in a triangle is formed by two sides of the triangle meeting at a vertex.

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 determine the longest side of a triangle?

Back

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

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the definition of an acute triangle?

Back

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

Front

What is the definition of an obtuse triangle?

Back

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

Front

How do you identify congruent triangles?

Back

Triangles are congruent if they have the same size and shape, which can be determined by comparing their corresponding sides and angles.