Question

Please help asap!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

• MP = NQ = 5 units

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Given points

• M = (3, 2), N = (3, -1), P = (7, - 1), Q = (7, 2)

Use distance formula

The distance between points (x₁, y₁) and (x₂, y₂) is:

• 
  `d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Apply this to segments MP and NQ

• 
  `MP=√((7-3)^2+(-1-2)^2)=√(4^2+(-3)^2)=√(16+9) =√(25)=5`

• 
  `NQ=√((7-3)^2+(2-(-1))^2)=√(4^2+3^2)=√(16+9) =√(25)=5`

So we have both segments with same length of 5 units