Pythagorean Theorem Review Challenge

What does the Pythagorean theorem relate to in geometry?

• Angles of a triangle

• Volume of a sphere

• Sides of a right triangle

• Area of a circle

Tags

CCSS.8.G.B.8

In the Pythagorean theorem, which side is known as the hypotenuse?

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle

• The side with the smallest angle

Tags

CCSS.8.G.B.8

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

Tags

CCSS.8.G.B.8

When using the Pythagorean theorem, what happens to the radical when squaring an irrational number?

• It remains unchanged

• It becomes a whole number

• It disappears

• It doubles

In the example, what is the value of x when 3 squared plus radical 7 squared equals x squared?

• 6

• 4

• 3

• 5

Tags

CCSS.8.G.B.8

Why do we ignore the negative solution for x in the context of the Pythagorean theorem?

• Because it simplifies the calculation

• Because it's mathematically incorrect

• Because it's an undefined operation

• Because it doesn't make sense in the context of geometry

Tags

CCSS.8.EE.A.2

What is the correct expression for the unknown side in the second example if the sides are 11x and 16?

• 11x + 16 = c

• 11x^2 + 16^2 = c^2

• 11^2 + x^2 = 16^2

• x^2 + 16^2 = 11^2

Tags

CCSS.8.G.B.8

What is the simplified form of the square root of 135?

• 5 radical 9

• 9 radical 5

• 3 radical 15

• 7 radical 19

How do you find the largest perfect square that divides into 135?

• Using a calculator

• By trial and error

• Asking a teacher

• Using prime factorization

What is the final answer for the unknown side in the second example?

• 27 radical 5

• 5 radical 27

• 15 radical 3

• 3 radical 15

Tags

CCSS.8.G.B.8