Finding the Endpoint when you know the Midpoint

The video tutorial explains how to find the other endpoint of a line segment when one endpoint and the midpoint are known. The instructor introduces the problem, provides a method to solve it, and walks through the step-by-step calculation. The key idea is to use the change in coordinates from the known endpoint to the midpoint to determine the change to the other endpoint.

What is the known endpoint in the problem discussed?

• (6, -2)

• (0, 0)

• (2, 4)

• (10, -8)

What is the change in the x-coordinate from the known endpoint to the midpoint?

• Subtract 6

• Add 6

• Subtract 4

• Add 4

How do you calculate the change in the y-coordinate from the known endpoint to the midpoint?

• Subtract 4

• Add 4

• Subtract 6

• Add 6

What is the y-coordinate of the other endpoint?

• 10

• 4

• -2

• -8

What is the x-coordinate of the other endpoint?

• 10

• 2

• 6

• 0