Geometry/Chapter 1/Lesson 3

= Midpoint & Distance =

Formulas
Midpoint: $$(x2+x1/2,y2+y1/2)$$ Distance:$$\surd(x2-x1)^2 + (y2-y1)^2$$

Midpoint
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: {C is the midpoint of A (8,20) and B (2, -10), Whats C? X={ 5 } Y={ 5 }
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{c is the midpoint of A (14,8) and B (-2, 1), Whats C? X={ 6 } Y={ 4.5 }
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{Midpoint Formula Uses Subtraction - TRUE. + FALSE.
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Distance
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: {Distance of A (8,-10) and B (2, -10) D={ 6 }
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{Distance of A (16,3) and B (7, 1), (Answer In The Most Simplified Square Root!) D={ √85 }
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{Distance of A (14,8) and B (-2, 1), (Answer In The Most Simplified Square Root!) D= { √305 }
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