Finding Midpoints and Coordinates

The video tutorial explains how to find the coordinates of an unknown endpoint of a line segment when given the midpoint and one endpoint. It introduces the problem, explains the midpoint formula, sets up equations to solve for the unknown coordinates, and verifies the solution using a graph.

What are the coordinates of the midpoint M given in the problem?

• (-2, 2)

• (1, -3)

• (2, -2)

• (-5, 7)

Tags

CCSS.HSG.GPE.B.6

If you know both endpoints of a segment, how do you find the midpoint?

• Add the coordinates of the endpoints and divide by 2

• Subtract the coordinates of the endpoints

• Multiply the coordinates of the endpoints

• Divide the coordinates of the endpoints by 2

Tags

CCSS.HSG.GPE.B.6

What is the known endpoint A in the problem?

• (-2, 2)

• (0, 0)

• (1, -3)

• (-5, 7)

Tags

CCSS.HSG.GPE.B.6

What is the equation used to find the x-coordinate of point B?

• (x + 2) / 2 = -5

• (x - 5) / 2 = 1

• (-5 + x) / 2 = -2

• (x + 7) / 2 = 2

Tags

CCSS.5.G.A.1

What is the x-coordinate of point B?

• 1

• -3

• -2

• 7

Tags

CCSS.HSG.GPE.B.6

What is the equation used to find the y-coordinate of point B?

• (y + 5) / 2 = -2

• (7 + y) / 2 = 2

• (y - 7) / 2 = 1

• (y + 2) / 2 = -5

Tags

CCSS.5.G.A.1

What is the y-coordinate of point B?

• 2

• 7

• 1

• -3

Tags

CCSS.HSG.GPE.B.6

What are the coordinates of the other endpoint B?

• (1, -3)

• (-5, 7)

• (0, 0)

• (-2, 2)

Tags

CCSS.5.G.A.1

How can you verify the coordinates of point B?

• By guessing

• By using a different formula

• By recalculating the midpoint

• By checking the graph

Tags

CCSS.HSG.GPE.B.6

What is the purpose of using the midpoint formula in this problem?

• To find the unknown endpoint

• To find the area

• To calculate the distance

• To determine the slope

Tags

CCSS.HSG.GPE.B.6