Converse Review

Front

What is a right triangle?

Back

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

Front

How can 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 Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What are the conditions for a triangle to be classified as obtuse?

Back

A triangle is classified as obtuse if one of its angles is greater than 90 degrees.

Front

What are the conditions for a triangle to be classified as acute?

Back

A triangle is classified as acute if all of its angles are less than 90 degrees.

Front

What does it mean for three lengths to form a triangle?

Back

Three lengths can form a triangle if the sum of the lengths of any two sides is greater than the length of the third side.

Front

Given sides 13, 80, and 81, do they form a right triangle?

Back

No, they do not form a right triangle.

Front

How do you determine if a triangle is not valid?

Back

A triangle is not valid if the sum of the lengths of any two sides is less than or equal to the length of the third side.

Front

What is the classification of a triangle with sides 7, 24, and 25?

Back

Right triangle, because 7² + 24² = 25².

Front

What is the classification of a triangle with sides 10, 10, and 15?

Back

Obtuse triangle, because the square of the longest side is greater than the sum of the squares of the other two sides.