Ordering Triangle Sides & Angles

Front

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

Back

In a triangle, the smallest angle is opposite the smallest side, and the largest angle is opposite the largest side.

Front

How do you determine the smallest angle in a triangle?

Back

To determine the smallest angle, compare the lengths of the sides; the angle opposite the shortest side is the smallest.

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 can you find the longest side of a triangle?

Back

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

Front

What is the sum of the angles in a triangle?

Back

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

Front

If angle M is 10° less than angle K, how can you express angle M in terms of angle K?

Back

Angle M can be expressed as M = K - 10°.

Front

If angle L is 1° greater than angle K, how can you express angle L in terms of angle K?

Back

Angle L can be expressed as L = K + 1°.

Front

What is the significance of the angles in determining the proximity of points in a triangle?

Back

The angles help determine which points (or towers) are closest together; smaller angles indicate closer distances.

Front

How do you identify the longest leg of a journey represented as a triangle?

Back

The longest leg of the journey corresponds to the longest side of the triangle formed by the points.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.