Distance Formula Worksheets - Free Printable

I can now see the questions on the worksheet. I need to find the lengths of the following segments:
1. Length of AB
2. Length of AE
3. Length of FG
4. Length of CD
5. Length of EF
6. Length of GH

I already have the coordinates for all points from my previous analysis:
- A: (-6, 4)
- B: (-2, 2)
- C: (0, -3)
- D: (3, -1)
- E: (5, 2)
- F: (2, -5)
- G: (-4, -4)
- H: (6, -3)

Now I'll calculate each distance using the Distance Formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Let me start with the length of AB.

For AB: A(-6, 4) and B(-2, 2)
d = √[(-2 - (-6))² + (2 - 4)²]
d = √[(4)² + (-2)²]
d = √[16 + 4]
d = √20
d = 2√5 ≈ 4.47

Let me continue with the other calculations.

For AE: A(-6, 4) and E(5, 2)
d = √[(5 - (-6))² + (2 - 4)²]
d = √[(11)² + (-2)²]
d = √[121 + 4]
d = √125
d = 5√5 ≈ 11.18

For FG: F(2, -5) and G(-4, -4)
d = √[(-4 - 2)² + (-4 - (-5))²]
d = √[(-6)² + (1)²]
d = √[36 + 1]
d = √37 ≈ 6.08

For CD: C(0, -3) and D(3, -1)
d = √[(3 - 0)² + (-1 - (-3))²]
d = √[(3)² + (2)²]
d = √[9 + 4]
d = √13 ≈ 3.61

For EF: E(5, 2) and F(2, -5)
d = √[(2 - 5)² + (-5 - 2)²]
d = √[(-3)² + (-7)²]
d = √[9 + 49]
d = √58 ≈ 7.62

For GH: G(-4, -4) and H(6, -3)
d = √[(6 - (-4))² + (-3 - (-4))²]
d = √[(10)² + (1)²]
d = √[100 + 1]
d = √101 ≈ 10.05

Based on these calculations, I can now provide the answers to the worksheet.

The solutions are:
1. Length of AB = √20 = 2√5 ≈ 4.47
2. Length of AE = √125 = 5√5 ≈ 11.18
3. Length of FG = √37 ≈ 6.08
4. Length of CD = √13 ≈ 3.61
5. Length of EF = √58 ≈ 7.62
6. Length of GH = √101 ≈ 10.05

These values should be rounded to the nearest tenth as instructed in the worksheet.