MIdpoint of a Line

Multiple Choice

What is the midpoint of PV?

• -13

• 3

• 6

• 1.5

Multiple Choice

What is the midpoint of UR?

• 16

• 8

• 0

• 26

Multiple Choice

If R is the midpoint of VA, where is A?

• -2

• 0

• 2

• -7

The Midpoint Formula

Average of your x coordinates, Average of your y coordinates

Fill in the Blanks

Find the midpoint between the points on the graph. Write your answer as an ordered pair. 

Fill in the Blanks

Find the midpoint between the points on the graph. Write your answer as an ordered pair. Do not put spaces between the coordinates. EX: (5,6)

Midpoint

• To find the midpoint of 2 points, plug in your points into the given formula.

• Simplify your answer to get the coordinate that lies directly in the middle of the 2 points.

Find the midpoint of the points (-3,3) & (5,3).

To find the midpoint,

1. Plug in (-3) for X₁ and plug in (3) for Y₁.

2. Plug in (5) for X₂ and plug in (3) for Y₂.

3. Simplify your answer to find the coordinate that lies between the two points.

Find the midpoint of the points (-4,5) & (2,-3).

1. Plug in (-4) for X₁ and (5) for Y₁.

2. Plug in (2) for X₂ and (-3) for Y_2.

3. Simplify your answer to find the middle coordinate.

Multiple Choice

What is the midpoint between (3,-1) and (7,-5)?

• (5,-2)

• (5,-3)

• (10,-6)

• (2,-2)

Multiple Choice

What is the midpoint between (4,12) and (-6,14)?

• (-1,13)

• (13,-1)

• (13,1)

• (5,13)

Multiple Choice

Find the midpoint of the segment with the following endpoints:

(-9, 2) & (-5, -6).

• (-7, -2)

• (2, -7)

• (-9, -5)

• (2, -6)

Multiple Choice

Find the midpoint of the segment with the following endpoints:

(9, 8) & (3, 2).

• (5, 6)

• (9, 2)

• (6, 5)

• (3, 8)

Finding Missing Endpoints

Example: If A is at (-2, 3) and the midpoint of AB, M, is at (2,2), what is the other endpoint?
Step 1: Determine the horizontal and vertical distances between A and M.
Horizontal Distance: 2--2 = 4
Vertical Distance: 2-3 = -1
Step 2: Add the distances to the midpoint.
M(2,2) -> M(2+4,2-1)=(6,1

​https://youtu.be/bFHN3xUOpvs?si=1pZjItuzbypW_06O

Multiple Choice

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

• (-19,15)

• (5,-6)

• (-4,-3)

• (6,2)

Multiple Choice

Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8)

• (3,-4)

• (-8,16)

• (2,3)

• (5,9)

Multiple Choice

Find the other endpoint of the line segment with the given endpoint (-8,-6) and midpoint (0,8)

• (-7,4)

• (0,3)

• (-4,-7)

• (8,22)