Exploring the Midpoint Formula and Endpoint Calculation

The video tutorial explains the midpoint formula, which is used to find the midpoint between two points on a coordinate plane. The formula involves averaging the x-coordinates and y-coordinates of the two points. The tutorial provides examples of how to calculate the midpoint and how to find an endpoint when given a midpoint and another endpoint. The process is demonstrated step-by-step, highlighting the importance of understanding the formula as an average of coordinates.

What does the midpoint formula help you find?

• The area of a triangle

• The halfway point between two points

• The slope of a line

• The distance between two points

Tags

CCSS.HSG.GPE.B.6

How do you calculate the x-coordinate of the midpoint?

• Add the x-coordinates and divide by 2

• Divide the first x-coordinate by the second

• Subtract the second x-coordinate from the first

• Multiply the x-coordinates

Tags

CCSS.HSG.GPE.B.6

What is the result of adding 3 and -1 and then dividing by 2?

• 1.5

• 2

• 1

• 0

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CCSS.7.EE.B.3

If the y-coordinates are 4 and 7, what is the y-coordinate of the midpoint?

• 5

• 2

• 11

• 5.5

Tags

CCSS.HSG.GPE.B.6

What is the midpoint of the points (3, 4) and (-1, 7)?

• (1, 5.5)

• (2, 5.5)

• (2, 6)

• (1, 6)

Tags

CCSS.HSG.GPE.B.6

What is the x-coordinate of the midpoint between points (-8, -4) and (6, 2)?

• -1

• 0

• -2

• 1

Tags

CCSS.HSG.GPE.B.6

What is the y-coordinate of the midpoint between points (-8, -4) and (6, 2)?

• -1

• 1

• 0

• -2

Tags

CCSS.HSG.GPE.B.6

If the midpoint is (5, 10) and one endpoint is (3, 7), what is the x-coordinate of the other endpoint?

• 8

• 7

• 6

• 5

Tags

CCSS.HSG.GPE.B.6

If the midpoint is (5, 10) and one endpoint is (3, 7), what is the y-coordinate of the other endpoint?

• 11

• 12

• 13

• 10

Tags

CCSS.HSG.GPE.B.6

What is the other endpoint if the midpoint is (5, 10) and one endpoint is (3, 7)?

• (8, 15)

• (6, 12)

• (7, 12)

• (7, 13)

Tags

CCSS.HSG.GPE.B.6