Midpoint and Distance Formulas

The video tutorial explains how to find the lengths of the medians of a triangle with given vertices. It covers the use of midpoint and distance formulas to calculate the medians from each vertex to the midpoint of the opposite side. The tutorial provides step-by-step calculations for each median, ensuring a clear understanding of the geometric concepts involved.

What is a median in a triangle?

• A line segment from a vertex to the midpoint of the opposite side

• A line segment that bisects an angle

• A line segment from a vertex to the opposite vertex

• A line segment from the midpoint of one side to the midpoint of another side

What are the coordinates of point A in the given triangle?

• (4, 4)

• (6, 0)

• (0, 0)

• (5, 2)

How do you find the midpoint between two points?

• Divide the coordinates by 2

• Multiply the coordinates and divide by 2

• Subtract the coordinates and divide by 2

• Add the coordinates and divide by 2

What is the midpoint of points B(6, 0) and C(4, 4)?

• (6, 4)

• (5, 4)

• (4, 2)

• (5, 2)

Which point is the midpoint of segment BC?

• (5, 2)

• (4, 4)

• (3, 0)

• (2, 2)

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

• ((x1 - x2)/2, (y1 - y2)/2)

• ((x1 / x2)/2, (y1 / y2)/2)

• ((x1 * x2)/2, (y1 * y2)/2)

• ((x1 + x2)/2, (y1 + y2)/2)

What is the midpoint of segment BC?

• (4, 4)

• (2, 2)

• (3, 0)

• (5, 2)

Which formula is used to calculate the distance between two points?

• Distance formula

• Midpoint formula

• Slope formula

• Area formula

What is the length of median A?

• Square root of 25

• Square root of 20

• Square root of 29

• Square root of 17

What is the distance formula used in the video?

• Square root of ((x2 + x1)^2 + (y2 + y1)^2)

• Square root of ((x2 / x1)^2 + (y2 / y1)^2)

• Square root of ((x2 - x1)^2 + (y2 - y1)^2)

• Square root of ((x2 * x1)^2 + (y2 * y1)^2)