Unit 4 Triangle Properties

Front

What are the properties of a triangle?

Back

The properties of a triangle include: 1) The sum of the interior angles is always 180 degrees. 2) The length of any two sides must be greater than the length of the third side (Triangle Inequality Theorem). 3) The longest side is opposite the largest angle.

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

How do you determine if a set of numbers can represent the sides of a triangle?

Back

To determine if a set of numbers can represent the sides of a triangle, apply the Triangle Inequality Theorem: for sides a, b, and c, check if a + b > c, a + c > b, and b + c > a.

Front

What is the formula for finding the missing angle in a triangle?

Back

To find the missing angle in a triangle, use the formula: Missing Angle = 180° - (Angle 1 + Angle 2).

Front

How do you rank angles in a triangle from largest to smallest?

Back

To rank angles in a triangle from largest to smallest, compare the lengths of the opposite sides: the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

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

Back

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

Front

What is the sum of the angles in a triangle?

Back

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

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are also equal.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are of different measures.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.