Calculating Distance and Midpoint in Geometry

This video tutorial explains how to calculate the distance between two points and the midpoint of a line segment in a rectangular coordinate system. It introduces the distance and midpoint formulas, followed by solving two example problems to demonstrate their application. The video concludes with an invitation to explore more lessons at the Math District.

What are the two main topics covered in this video?

• Slope of a line and the equation of a circle

• Distance between two points and the midpoint of a line segment

• Distance between two points and the slope of a line

• Equation of a line and the distance between two points

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

• D = (x2 - x1) + (y2 - y1)

• D = sqrt((x2 - x1)^2 + (y2 - y1)^2)

• D = (x2 + x1) / 2 + (y2 + y1) / 2

• D = (x2 - x1)^2 + (y2 - y1)^2

What is the formula for the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

• ((x1 - x2), (y1 - y2))

• ((x1 + x2), (y1 + y2))

• ((x1 + x2) / 2, (y1 + y2) / 2)

• ((x1 - x2) / 2, (y1 - y2) / 2)

What is the distance between the points (3, 5) and (7, 2)?

• 5 units

• 4 units

• 6 units

• 7 units

What is the first step in finding the distance between two points using the distance formula?

• Add the y-coordinates

• Subtract the x-coordinates and square the result

• Subtract the y-coordinates

• Add the x-coordinates

What are the coordinates of the midpoint of the line segment connecting the points (3, 5) and (7, 2)?

• (5, 3.5)

• (4, 3.5)

• (5, 4)

• (4, 4)

What is the first step in finding the midpoint of a line segment?

• Add the y-coordinates and divide by 2

• Add the x-coordinates and divide by 2

• Subtract the x-coordinates and divide by 2

• Subtract the y-coordinates and divide by 2

What is the distance between the points (-6, 1) and (4, -5)?

• 10.66 units

• 11.66 units

• 12.66 units

• 13.66 units

What is the midpoint of the line segment connecting the points (-6, 1) and (4, -5)?

• (1, -2)

• (-1, 2)

• (1, 2)

• (-1, -2)

What is the final step in finding the distance between two points using the distance formula?

• Divide by 2

• Add the x-coordinates

• Add the y-coordinates

• Take the square root of the sum of the squares