- Distance Formula Solutions:
1. √( (-7 - (-3))² + (-8 - 5)² ) = √( (-4)² + (-13)² ) = √(16 + 169) = √185
2. √( (-4 - (-5))² + (1 - 8)² ) = √( (1)² + (-7)² ) = √(1 + 49) = √50 = 5√2
3. √( (3 - 5)² + (8 - 4)² ) = √( (-2)² + (4)² ) = √(4 + 16) = √20 = 2√5
4. √( (-7 - 0)² + (1 - (-6))² ) = √( (-7)² + (7)² ) = √(49 + 49) = √98 = 7√2
5. √( (8 - 2)² + (-5 - (-3))² ) = √( (6)² + (-2)² ) = √(36 + 4) = √40 = 2√10
6. √( (7 - (-4))² + (-3 - (-2))² ) = √( (11)² + (-1)² ) = √(121 + 1) = √122
- Midpoint Formula Solutions:
1. ( (8 + (-9))/2 , (0 + 1)/2 ) = ( -1/2 , 1/2 )
2. ( (-9 + 4)/2 , (-10 + (-9))/2 ) = ( -5/2 , -19/2 )
3. ( (4 + 2)/2 , (-3 + 9)/2 ) = ( 6/2 , 6/2 ) = ( 3 , 3 )
4. ( (8 + (-8))/2 , (7 + 3)/2 ) = ( 0/2 , 10/2 ) = ( 0 , 5 )
5. ( (7 + (-2))/2 , (-8 + 8)/2 ) = ( 5/2 , 0/2 ) = ( 5/2 , 0 )
6. ( (-4 + 3)/2 , (7 + (-1))/2 ) = ( -1/2 , 6/2 ) = ( -1/2 , 3 )
Parent Tip: Review the logic above to help your child master the concept of the midpoint formula worksheet.
