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Geometry/Chapter 1/Lesson 3

Midpoint & Distance

Formulas

Midpoint: [1]

Midpoint Formula With A Example WIth No Arrows
Midpoint

Distance:[2]

Distance With A Triangle with the formula split.
Distance

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:

1

C is the midpoint of A (8,20) and B (2, -10), Whats C?
X=
Y=

2

c is the midpoint of A (14,8) and B (-2, 1), Whats C?
X=
Y=

3

Midpoint Formula Uses Subtraction

TRUE.
FALSE.

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:

1

Distance of A (8,-10) and B (2, -10)
D=

2

Distance of A (16,3) and B (7, 1), (Answer In The Most Simplified Square Root!)
D=

3

Distance of A (14,8) and B (-2, 1), (Answer In The Most Simplified Square Root!)
D=


Sources

  1. ↑ "Midpoint Formula - Formula, How to Find Midpoint? Examples". Cuemath. Retrieved 2022-09-22.
  2. ↑ "Distance Formula - Derivation, Examples, Types, Applications". Cuemath. Retrieved 2022-09-22.

See also

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