Midpoint and Coordinate Concepts

This lesson explains how to find the midpoint of a segment on a coordinate plane. It begins by introducing the concept of a midpoint as a point equidistant from two endpoints. The video then demonstrates labeling points on the plane and calculating the midpoint by averaging the x and y coordinates. Finally, it simplifies the calculation to find the midpoint, providing a clear example.

What is the definition of a midpoint on a coordinate plane?

• A point that is at the origin

• A point that is closest to the origin

• A point that is equidistant from the two endpoints

• A point that is farthest from the origin

How do you label the coordinates of a point on a plane?

• Using M1, N1 for the first point and M2, N2 for the second point

• Using P1, Q1 for the first point and P2, Q2 for the second point

• Using A1, B1 for the first point and A2, B2 for the second point

• Using X1, Y1 for the first point and X2, Y2 for the second point

What is the formula to find the x-coordinate of the midpoint?

• Subtract the x-coordinates and divide by 2

• Multiply the x-coordinates and divide by 2

• Divide the x-coordinates by 2

• Add the x-coordinates and divide by 2

What is the y-coordinate of the midpoint if the y-coordinates of the endpoints are -4 and 8?

• 2

• 4

• 6

• 0

What is the midpoint of the segment with endpoints (-6, -4) and (4, 8)?

• (-1, 2)

• (0, 0)

• (1, -2)

• (2, 1)