Exterior Angle Thm and Converse of Pythagorean Thm Flashcard

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you classify a triangle based on its angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Front

What is the Converse of the Pythagorean Theorem?

Back

The Converse of the Pythagorean Theorem states that if in a triangle, the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Front

Back

The triangle is acute.

Front

What are the side lengths of a right triangle?

Back

Front

How do you determine if three lengths can form a triangle?

Back

The lengths must satisfy the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the measure of an angle in a triangle if the other two angles are 40° and 87°?

Back

The measure of the third angle is 53° (180° - 40° - 87°).

Front

What is the classification of a triangle with sides 41 cm, 9 cm, and 40 cm?

Back

The triangle is right.

Front

What is the classification of a triangle with sides 8 cm, 12 cm, and 15 cm?

Back

The triangle is obtuse.

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°.