Understanding Distance Between Two Points

This video tutorial explains how to determine the distance between two points using the distance formula, derived from the Pythagorean Theorem. It provides a step-by-step example calculation, including converting the result into simplified radical form and visualizing the process graphically.

What is the formula used to calculate the distance between two points on a plane?

• The sum of the x-coordinates and y-coordinates

• The square root of the sum of the squares of the differences in x and y coordinates

• The product of the x-coordinates and y-coordinates

• The difference between the x-coordinates and y-coordinates

Which theorem is the distance formula derived from?

• The Triangle Inequality Theorem

• The Pythagorean Theorem

• The Law of Cosines

• The Law of Sines

In the context of the distance formula, what does 'A' represent?

• The difference in y-coordinates

• The difference in x-coordinates

• The sum of x and y coordinates

• The product of x and y coordinates

What is the first step in calculating the distance between two points?

• Add the x-coordinates

• Label the coordinates of the points

• Subtract the y-coordinates

• Multiply the coordinates

What is the distance between the points (-2, 9) and (3, 4) in decimal form?

• 10.00

• 12.00

• 7.07

• 5.00

How can the square root of 50 be expressed in simplified radical form?

• 25√2

• 2√5

• 10√5

• 5√2

What is the horizontal distance between the points (-2, 9) and (3, 4)?

• 6 units

• 3 units

• 4 units

• 5 units

What is the vertical distance between the points (-2, 9) and (3, 4)?

• 3 units

• 4 units

• 6 units

• 5 units

What is the approximate decimal value of the square root of 50?

• 6.32

• 9.21

• 8.14

• 7.07

Which form of the distance is used when a precise value is not required?

• Decimal approximation

• Simplified radical form

• Exponential form

• Fractional form