Understanding the Pythagorean Theorem and Distance in the Coordinate Plane

This video tutorial reviews the Pythagorean Theorem and its application in finding distances in the coordinate plane. It demonstrates how to calculate the distance between two points using the theorem, providing two examples. The tutorial also covers calculating the perimeter of a parallelogram by solving for diagonal segments using right triangles.

What is the primary mathematical concept used to find the distance between two points in the coordinate plane?

• Area Formula

• Slope Formula

• Quadratic Formula

• Pythagorean Theorem

What is the first step in using the Pythagorean Theorem to find the distance between two points?

• Draw a vertical line

• Calculate the hypotenuse

• Connect the given points

• Draw a horizontal line

In the example of finding the distance between point A and point B, what is the length of the vertical segment?

• 5

• 4

• 3

• 6

What is the final step in calculating the distance using the Pythagorean Theorem?

• Take the square root of the sum

• Count the segments

• Draw the right triangle

• Add the squares of the segments

In the second example, what is the length of the horizontal segment between the points (3, 5) and (-5, 1)?

• 4

• 6

• 7

• 8

What is the calculated distance between the points (3, 5) and (-5, 1) using the Pythagorean Theorem?

• 6.4

• 7.5

• 9.2

• 8.9

When calculating the perimeter of a parallelogram, what is the first step?

• Calculate the area

• Draw a rectangle

• Solve for diagonal segments

• Count the sides

In the perimeter calculation, what is the length of the diagonal segment in the right triangle?

• 1.5

• 2.2

• 3.0

• 4.1

What is the total perimeter of the parallelogram calculated in the video?

• 10.4

• 11.2

• 13.6

• 12.4

Which of the following is true about the triangles used in the perimeter calculation?

• They are equilateral

• They are scalene

• They are isosceles

• They are congruent