Understanding the Pythagorean Theorem on the Coordinate Plane

This video tutorial demonstrates how to use the Pythagorean theorem to find the distance between two points on a coordinate plane. It provides two examples: calculating the distance between points A and D, and between points B and E. The process involves forming right triangles where the distance between the points is the hypotenuse. The video explains the theorem's formula, applies it to find the hypotenuse, and uses a calculator to determine the approximate distance.

What is the main purpose of using the Pythagorean theorem in this tutorial?

• To find the area of a triangle

• To determine the distance between two points

• To measure the angle of a triangle

• To calculate the perimeter of a rectangle

What shape is formed on the coordinate plane to apply the Pythagorean theorem?

• A square

• A circle

• A rectangle

• A right triangle

In the right triangle formed between points A and D, what do the legs represent?

• The vertical and horizontal distances

• The hypotenuse

• The diagonal distance

• The perimeter

What is the length of the hypotenuse between points A and D, rounded to the nearest tenth?

• 7.1 units

• 6.4 units

• 5.0 units

• 8.0 units

Why is it important to know that C is positive when solving for the hypotenuse?

• Because it changes the triangle's shape

• Because it alters the coordinate plane

• Because distances cannot be negative

• Because it affects the angle measurement

What is the length of the vertical leg in the triangle formed between points B and E?

• 5 units

• 8 units

• 6 units

• 4 units

What is the length of the hypotenuse between points B and E?

• 11 units

• 10 units

• 9 units

• 8 units

How do you calculate the hypotenuse using the Pythagorean theorem?

• Subtract the squares of the legs

• Multiply the legs and take the square root

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

• Divide the legs by the hypotenuse

What is the sum of the squares of the legs in the triangle between points B and E?

• 36

• 100

• 64

• 72

What is the significance of the hypotenuse in a right triangle on a coordinate plane?

• It is the shortest side

• It is always horizontal

• It is the longest side

• It is equal to one of the legs