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What is the distance from the midpoint o...

What is the distance from the midpoint of `bar(EF)` to the midpoint of `bar(GH)` ?

A

`5.408`

B

`5.454`

C

`5.568`

D

`5.59`

Text Solution

Verified by Experts

The correct Answer is:
D
To find the midpoint of a segment, average the x - coordinates and average the y - coordinates of the endpoints :
midpoint of `bar(EF)=((-3+(-2))/(2), (3+(-4))/(2))=(-(5)/(2),-(1)/(2))`
midpoint of `bar(GH)=((1+5)/(2), (3+(-2))/(2))=(3,(1)/(2))`
To find the distance between two points, use the distance formula :
Distance `= sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))`
`= sqrt((3-(-(5)/(2)))^(2)+((1)/(2)-(-(1)/(2)))^(2))`
`= sqrt(((11)/(2))^(2)+(1)^(2))`
`= sqrt(30.25+1)`
`= sqrt(31.25)~~5.590`
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