Unit 2 Pythagorean Theorem Review

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). It can be expressed as: a² + b² = c².

Front

How can you determine if three side lengths can form a right triangle?

Back

To determine if three side lengths can form a right triangle, check if the square of the longest side is equal to the sum of the squares of the other two sides. If a² + b² = c² holds true, then they can form a right triangle.

Front

What is a hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

Is 1 a prime number?

Back

No, 1 is not considered a prime number because a prime number is defined as having exactly two distinct positive divisors: 1 and itself.

Front

What is a composite number?

Back

A composite number is a positive integer that has at least one positive divisor other than one or itself, meaning it can be divided evenly by numbers other than 1 and itself.

Front

What is the prime factorization of 30?

Back

The prime factorization of 30 is 2 • 3 • 5.

Front

What is the prime factorization of 32 using a factor tree?

Back

The prime factorization of 32 is 2 • 2 • 2 • 2 • 2.

Front

Can all even numbers be classified as composite?

Back

False. The number 2 is an even number and it is also a prime number.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the relationship between the lengths of the sides is defined by the Pythagorean Theorem: a² + b² = c².