The Pythagorean Theorem and the Coordinate Plane

The video tutorial explains how to use the Pythagorean theorem to find the length of a diagonal segment in a coordinate plane. It begins with a problem involving triangle PTU and segment TU. The instructor demonstrates forming a right triangle and applying the Pythagorean theorem to calculate the hypotenuse. The process involves counting the lengths of the triangle's legs, calculating the hypotenuse, and rounding the result to the nearest unit.

What is the first step in solving for the length of segment TU in triangle PTU on a coordinate plane?

• Identify the hypotenuse

• Form a right triangle

• Calculate the area of the triangle

• Find the midpoint of segment TU

Which of the following best describes the Pythagorean theorem?

• It is used to calculate the area of a triangle

• It is used to find the length of a missing side in a right triangle

• It is used to find the midpoint of a line segment

• It is used to determine the perimeter of a triangle

In the Pythagorean theorem, what do the letters A and B represent?

• The two legs that form the right angle

• The hypotenuse and one leg of the triangle

• The height and the base of the triangle

• The diagonal and the base of the triangle

How do you find the length of the hypotenuse using the Pythagorean theorem?

• Subtract the squares of the legs and take the square root

• Add the squares of the legs and take the square root

• Multiply the squares of the legs and take the square root

• Divide the squares of the legs and take the square root

When rounding the calculated length of segment TU to the nearest unit, what should you do if the decimal is less than 0.5?

• Round up to the next whole number

• Round down to the nearest whole number

• Keep the decimal as it is

• Add 1 to the decimal