Midpoint & Distance

Formulas

Midpoint: $(x 2 + x 1 / 2, y 2 + y 1 / 2)$ ^[1]

Distance:

\sqrt (x 2 - x 1)^{2} + (y 2 - y 1)^{2}

Midpoint: a point that is in the middle of the line joining two points.

Example:

If C is in the middle of A (5,4) and B (2, 1)

(5+2/2, 4+1/2) | 5+2 = 7/2 = 3.5 and 4+1 = 5/2 = 2.5 that means C is (3.5,2.5)

Now You Try: <quiz display="simple"> {C is the midpoint of A (8,20) and B (2, -10), Whats C? |type="{}" coef="1"} X={ 5 } Y={ 5 }

{c is the midpoint of A (14,8) and B (-2, 1), Whats C? |type="{}" coef="1"} X={ 6 } Y={ 4.5 }

{Midpoint Formula Uses Subtraction |type="()"} - TRUE. + FALSE. </quiz>

Distance: The Difference Between 2 Points/coordinates

1. What Would The Distance Be Between (3,7) and (-1,7)

√(-1-3)^2 + (7-7)^2 then √(-4)^2 + (0)^2 and now when you add, it's √16, and √16 is 4.

2. What Would The Distance Be Between (4,6) and (2,8)

√(2-4)^2 + (8-6)^2 then √(-2)^2 + (2)^2 and now when you add, it's √8 then simplified then its 2√2, that's your answer!

Now You Try: <quiz display="simple"> {Distance of A (8,-10) and B (2, -10) |type="{}" coef="1"} D={ 6 }

{Distance of A (16,3) and B (7, 1), (Answer In The Most Simplified Square Root!) |type="{}" coef="1"} D={ √85 }

{Distance of A (14,8) and B (-2, 1), (Answer In The Most Simplified Square Root!) |type="{}" coef="1"} D= { √305 } </quiz>