Question

what is the distance between points (1,2) and (5,5)?
3
4
5
6
question 4
what is the midpoint of (-2,-2) and (2,2)?
(1.1)
(0.0)
(-1,-1)
(0,1)

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 1,y_1 = 2,x_2 = 5,y_2 = 5\).

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Step2: Calculate the values

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Step3: Use the mid - point formula

The mid - point formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1+x_2}{2},\frac{y_1 + y_2}{2})\). Here, \(x_1=-2,y_1=-2,x_2 = 2,y_2 = 2\).

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Answer:

For the distance question: 5.
For the mid - point question: \((0,0)\)