Does adding 7+2 and then dividing by 2 help you find the find midpoint of line segment JK¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

Yes because (7+2)÷2 calculates the average, or midpoint, of the x-coordinates of points J and K.
Yes because open paren 7 plus 2 close paren divided by 2 calculates the average, or midpoint, of the x -coordinates of points J and K.

No because 7 should be added to 3, then multiplied by 2 to find the midpoint.
No because 7 should be added to 3, then multiplied by 2 to find the midpoint.

Yes because (7+2)÷2 calculates the average, or midpoint, of the y-coordinates of points J and K.
Yes because open paren 7 plus 2 close paren divided by 2 calculates the average, or midpoint, of the y -coordinates of points J and K.

No because (7,2) is not the coordinate of point J or K.

1 answer

To determine if adding \(7 + 2\) and then dividing by \(2\) helps find the midpoint of line segment \(JK\), we need to consider what \(7\) and \(2\) represent.

If \(7\) and \(2\) are the \(x\)-coordinates of points \(J\) and \(K\), then the calculation \((7 + 2) \div 2\) finds the average of these \(x\)-coordinates, which gives the \(x\)-coordinate of the midpoint.

Similarly, if \(7\) and \(2\) are the \(y\)-coordinates of points \(J\) and \(K\), the calculation can be used to find the \(y\)-coordinate of the midpoint.

Given the responses provided, the best answer that matches this reasoning is:

Yes because (7+2)÷2 calculates the average, or midpoint, of the x-coordinates of points J and K.

If \(7\) and \(2\) represent the \(x\)-coordinates, this correctly describes the use of the average to find the midpoint.