1. Distance: √[(4-0)² + (3-3)²] = √[16 + 0] = 4; Midpoint: ((0+4)/2, (3+3)/2) = (2, 3)
2. Distance: √[(2-3)² + (7-(-3))²] = √[1 + 100] = √101; Midpoint: ((3+2)/2, (-3+7)/2) = (2.5, 2)
3. Distance: √[(-4-4)² + (-8-5)²] = √[64 + 169] = √233; Midpoint: ((4+(-4))/2, (5+(-8))/2) = (0, -1.5)
4. Distance: √[(3-2)² + (-7-8)²] = √[1 + 225] = √226; Midpoint: ((2+3)/2, (8+(-7))/2) = (2.5, 0.5)
5. Distance: √[(-2-4)² + (-4-2)²] = √[36 + 36] = √72 = 6√2; Midpoint: ((4+(-2))/2, (2+(-4))/2) = (1, -1)
6. Distance: √[(4-0)² + (3-0)²] = √[16 + 9] = √25 = 5; Midpoint: ((0+4)/2, (0+3)/2) = (2, 1.5)
7. Distance: √[(2-3)² + (7-(-3))²] = √[1 + 100] = √101; Midpoint: ((3+2)/2, (-3+7)/2) = (2.5, 2)
8. Distance: √[(-4-4)² + (-3-5)²] = √[64 + 64] = √128 = 8√2; Midpoint: ((4+(-4))/2, (5+(-3))/2) = (0, 1)
9. Distance: √[(3-2)² + (-7-8)²] = √[1 + 225] = √226; Midpoint: ((2+3)/2, (8+(-7))/2) = (2.5, 0.5)
10. Distance: √[(-2-4)² + (-4-2)²] = √[36 + 36] = √72 = 6√2; Midpoint: ((4+(-2))/2, (2+(-4))/2) = (1, -1)
Parent Tip: Review the logic above to help your child master the concept of midpoint worksheet.
