Now I can clearly see the coordinate grid with points A, B, C, D, and E. Let me identify the coordinates of each point:
- Point A is at (2, 8)
- Point B is at (-5, 5)
- Point C is at (3, -3)
- Point D is at (-4, -6)
- Point E is at (6, 3)
Now I need to calculate the distance between the specified pairs: A and E, B and C, and D and A.
I'll use the distance formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Let me calculate each distance one by one.
First, let's calculate the distance between A(2, 8) and E(6, 3):
Distance AE = √[(6 - 2)² + (3 - 8)²] = √[4² + (-5)²] = √[16 + 25] = √41 ≈ 6.4
Next, let's calculate the distance between B(-5, 5) and C(3, -3):
Distance BC = √[(3 - (-5))² + (-3 - 5)²] = √[8² + (-8)²] = √[64 + 64] = √128 ≈ 11.3
Finally, let's calculate the distance between D(-4, -6) and A(2, 8):
Distance DA = √[(2 - (-4))² + (8 - (-6))²] = √[6² + 14²] = √[36 + 196] = √232 ≈ 15.2
All distances are rounded to 1 decimal place as requested.
The distances are:
- A and E: 6.4
- B and C: 11.3
- D and A: 15.2
Parent Tip: Review the logic above to help your child master the concept of distance on the coordinate plane worksheet.