Finding Midpoints and Endpoints

The video tutorial explains how to find the missing endpoint of a line segment when given one endpoint and the midpoint. It begins by plotting the given points and clarifying the problem setup. The concept of a midpoint is discussed, followed by the introduction of the midpoint formula. The tutorial then demonstrates how to apply the formula to solve for the missing endpoint by setting up and solving equations.

What are the coordinates of point F given in the problem?

• (2, 9)

• (-1, 6)

• (1, 6)

• (0, 2)

Which point is identified as the midpoint in the problem?

• Point F

• Point E

• Point D

• Point G

What is the formula for finding the midpoint between two points?

• (X1 + X2, Y1 + Y2)

• (X1 * X2, Y1 * Y2)

• (X1 - X2, Y1 - Y2)

• (X1 + X2) / 2, (Y1 + Y2) / 2

If the midpoint is (-1, 6), what equation can be set up for the x-coordinates?

• X1 + X2 = -2

• X1 + X2 = 2

• X1 - X2 = -2

• X1 * X2 = -2

What is the y-coordinate equation derived from the midpoint formula?

• Y1 * Y2 = 12

• Y1 - Y2 = 12

• Y1 / Y2 = 12

• Y1 + Y2 = 12

What is the value of X1 after solving the equation X1 + 2 = -2?

• -2

• -4

• 2

• 4

What is the value of Y1 after solving the equation Y1 + 9 = 12?

• 12

• 3

• 9

• 6

What are the coordinates of the missing endpoint D?

• (4, -3)

• (3, 4)

• (-4, 3)

• (4, 3)

Which of the following is NOT a step in finding the missing endpoint?

• Solving for unknowns

• Multiplying coordinates

• Using the midpoint formula

• Identifying the midpoint

What is the first step in solving for the missing endpoint?

• Solve the equations

• Plot the points

• Identify the midpoint

• Multiply the coordinates