Unit 5: Triangle Sum and Exterior Angle Theorem Practice

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

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 opposite interior angles.

Front

If one angle of a triangle measures 82 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 98 degrees, since 180 - 82 = 98.

Front

Classify a triangle with sides measuring 5, 12, and 13. What type of triangle is it?

Back

It is a right triangle, as it satisfies the Pythagorean theorem: 5^2 + 12^2 = 13^2.

Front

What is a scalene triangle?

Back

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

Front

What is an isosceles triangle?

Back

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

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.

Front

If a triangle has one angle measuring 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the angles of a triangle and its exterior angles?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If the angles of a triangle are 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees, since 180 - (30 + 60) = 90.