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

Fill in the Blanks

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)