Inequalities in One Triangle (Section 5-3)

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side. The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

Identify the remote interior angles for angle 6 in a triangle.

Back

The remote interior angles for angle 6 are angles 2 and 3.

Front

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

Back

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

Front

If a triangle has sides of lengths a, b, and c, what can be said about the longest side?

Back

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

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 from least to greatest?

Back

To order the sides of a triangle from least to greatest, compare the lengths of the sides and arrange them accordingly.

Front

What does it mean if a = b + c in terms of triangle sides?

Back

If a = b + c, then side a is equal to the sum of sides b and c, which means that the triangle is degenerate (it collapses into a straight line).

Front

What is the significance of the longest side in a quadrilateral?

Back

The longest side in a quadrilateral can help determine the shape and properties of the quadrilateral, such as whether it can form a triangle with other sides.

Front

What is the definition of an angle in geometry?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex). The measure of an angle is typically expressed in degrees.

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.