Pythagorean Theorem Pre-Assessment

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: c² = a² + b².

Front

What is the hypotenuse of a right triangle?

Back

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

Front

Calculate the value of c² - b² when a = 3, b = 4, and c = 5.

Back

9

Front

What is the square of 3?

Back

9

Front

Calculate the value of y + x - z when x = 3, y = -2, and z = -4.

Back

5

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

If a = 5 and b = 12, what is the length of the hypotenuse c?

Back

Using the Pythagorean Theorem: c² = a² + b², c² = 5² + 12² = 25 + 144 = 169, so c = √169 = 13.

Front

What does it mean to square a number?

Back

To square a number means to multiply the number by itself.

Front

What is the formula for finding the area of a right triangle?

Back

The area of a right triangle is given by the formula: Area = (1/2) * base * height.

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the lengths of the sides satisfy the Pythagorean Theorem: 3² + 4² = 5².