Mastering the Midpoint Formula

The video tutorial explains the midpoint formula, which is used to find the point that divides a segment into two equal parts. It provides three examples to demonstrate how to calculate the midpoint using given coordinates. The tutorial also includes a graphical method for verification and encourages viewers to practice the concept.

What is the purpose of the midpoint formula?

• To find the area of a triangle

• To find the length of a segment

• To find the midpoint of a segment

• To find the slope of a line

Tags

CCSS.HSG.GPE.B.6

What are the coordinates of the midpoint for the segment with endpoints (-4, 3) and (2, 3)?

• (0, 3)

• (-1, 3)

• (1, 3)

• (-2, 3)

Tags

CCSS.HSG.GPE.B.6

In Example 1, what is the first step after writing down the endpoints?

• Find the slope of the line

• Calculate the distance between the points

• Label the points as x1, y1 and x2, y2

• Plot the points on the graph

Tags

CCSS.HSG.GPE.B.7

What is the midpoint of the segment with endpoints (2, 4) and (2, -1)?

• (2, 1.5)

• (2, 1)

• (2, 0.5)

• (2, 2)

Tags

CCSS.HSG.GPE.B.6

In Example 2, what is the result of adding the y-coordinates 4 and -1?

• 0

• 3

• 2

• 1

What is the midpoint of the segment with endpoints (-3, 0) and (5, 4)?

• (0, 2)

• (2, 2)

• (1, 2)

• (1, 1)

Tags

CCSS.HSG.GPE.B.6

In Example 3, what is the first step after writing down the endpoints?

• Calculate the distance between the points

• Label the points as x1, y1 and x2, y2

• Draw a vertical line

• Find the slope of the line

Tags

CCSS.HSG.GPE.B.6

What is the result of adding the x-coordinates -3 and 5 in Example 3?

• 2

• 1

• 0

• -1

What is the final step in finding the midpoint of a segment?

• Plot the midpoint on the graph

• Add the coordinates

• Simplify the ordered pair

• Label the points

Tags

CCSS.HSG.GPE.B.6

If the endpoints of a segment are (4, 6) and (8, 10), what is the midpoint?

• (5, 7)

• (7, 9)

• (6, 8)

• (6, 7)

Tags

CCSS.HSG.GPE.B.6