Geometry 6.5, 5.1, and 5.4

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

Define an acute triangle.

Back

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

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 one angle of a triangle measures 42 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 138 degrees, since the sum of all angles must equal 180 degrees.

Front

What is the range of values for the third side of a triangle with sides measuring 4 and 12?

Back

The range of values for the third side is 8 < x < 16.

Front

Define an isosceles triangle.

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the measure of an angle that is supplementary to a 69-degree angle?

Back

The measure of the supplementary angle is 111 degrees.

Front

What is the definition of a right triangle?

Back

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

Front

If the measure of angle 2 is 50 degrees, what is the measure of angle 1 if they are complementary?

Back

The measure of angle 1 is 40 degrees.

Front

What is the classification of a triangle with angles measuring 60, 60, and 60 degrees?

Back

The triangle is classified as equiangular and equilateral.