We are given 8 pairs of points and asked to find the distance between each pair using the
Distance Formula:
>
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
We will compute each one step by step, then round to the
nearest hundredth.
---
1) (-2, -5) and (-3, -1)
Let:
- (x₁, y₁) = (-2, -5)
- (x₂, y₂) = (-3, -1)
Distance = √[(-3 - (-2))² + (-1 - (-5))²]
= √[(-3 + 2)² + (-1 + 5)²]
= √[(-1)² + (4)²]
= √[1 + 16]
= √17 ≈
4.12
✔ Answer: 4.12
---
2) (0, -8) and (-6, 0)
Let:
- (x₁, y₁) = (0, -8)
- (x₂, y₂) = (-6, 0)
Distance = √[(-6 - 0)² + (0 - (-8))²]
= √[(-6)² + (8)²]
= √[36 + 64]
= √100 =
10.00
✔ Answer: 10.00
---
3) (7, 4) and (1, 9)
Let:
- (x₁, y₁) = (7, 4)
- (x₂, y₂) = (1, 9)
Distance = √[(1 - 7)² + (9 - 4)²]
= √[(-6)² + (5)²]
= √[36 + 25]
= √61 ≈
7.81
✔ Answer: 7.81
---
4) (-3, 2) and (11, -7)
Let:
- (x₁, y₁) = (-3, 2)
- (x₂, y₂) = (11, -7)
Distance = √[(11 - (-3))² + (-7 - 2)²]
= √[(14)² + (-9)²]
= √[196 + 81]
= √277 ≈
16.64
✔ Answer: 16.64
---
5) (-4, -3) and (8, -8)
Let:
- (x₁, y₁) = (-4, -3)
- (x₂, y₂) = (8, -8)
Distance = √[(8 - (-4))² + (-8 - (-3))²]
= √[(12)² + (-5)²]
= √[144 + 25]
= √169 =
13.00
✔ Answer: 13.00
---
6) (6, 9) and (6, 1)
Let:
- (x₁, y₁) = (6, 9)
- (x₂, y₂) = (6, 1)
Distance = √[(6 - 6)² + (1 - 9)²]
= √[0 + (-8)²]
= √64 =
8.00
✔ Answer: 8.00
---
7) (1, 2) and (-7, 0)
Let:
- (x₁, y₁) = (1, 2)
- (x₂, y₂) = (-7, 0)
Distance = √[(-7 - 1)² + (0 - 2)²]
= √[(-8)² + (-2)²]
= √[64 + 4]
= √68 ≈
8.25
✔ Answer: 8.25
---
8) (-10, -8) and (-4, -5)
Let:
- (x₁, y₁) = (-10, -8)
- (x₂, y₂) = (-4, -5)
Distance = √[(-4 - (-10))² + (-5 - (-8))²]
= √[(6)² + (3)²]
= √[36 + 9]
= √45 ≈
6.71
✔ Answer: 6.71
---
##
✔ Final Answers:
1)
4.12
2)
10.00
3)
7.81
4)
16.64
5)
13.00
6)
8.00
7)
8.25
8)
6.71
All answers rounded to the nearest hundredth as requested.
Parent Tip: Review the logic above to help your child master the concept of distance formula geometry worksheet.
