Distance and Midpoint Problems

This video tutorial explains how to calculate the distance and midpoint between two points using formulas derived from the Pythagorean theorem. It provides two examples with step-by-step calculations and offers practice problems for further learning.

What is the main topic discussed in the video?

• Calculating the area of a triangle

• Finding the distance and midpoint between two points

• Solving quadratic equations

• Understanding the properties of circles

Which theorem is the distance formula derived from?

• Remainder theorem

• Fundamental theorem of calculus

• Binomial theorem

• Pythagorean theorem

What is the formula for the distance between two points?

• D = (x2 - x1)² + (y2 - y1)²

• D = (x2 - x1) + (y2 - y1)

• D = √((x2 - x1)² + (y2 - y1)²)

• D = (x2 + x1) / 2 + (y2 + y1) / 2

What is the formula for the midpoint between two points?

• M = (x2 - x1) / 2, (y2 - y1) / 2

• M = (x1 + x2) / 2, (y1 + y2) / 2

• M = (x2 + x1)², (y2 + y1)²

• M = √((x2 + x1)² + (y2 + y1)²)

In Example 1, what are the coordinates of the first point?

• (-2, -1)

• (4, 4)

• (2, 4)

• (6, 7)

In Example 1, what is the calculated distance between the two points?

• 5 units

• 10 units

• 3.5 units

• 7.81 units

In Example 1, what is the midpoint of the two points?

• (1, 1.5)

• (2, 3)

• (0, 0)

• (4, 5.5)

In Example 2, what are the coordinates of point A?

• (-2, -1)

• (6, 7)

• (2, 4)

• (4, 4)

In Example 2, what is the distance between points A and B?

• 5 units

• 3.5 units

• 7.81 units

• 10 units

In Example 2, what is the midpoint between points A and B?

• (0, 0)

• (1, 1.5)

• (4, 5.5)

• (2, 3)