Use the image to answer the question. 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 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. 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. No because (7,2) is not the coordinate of point J or K.

1 answer

To find the midpoint of a line segment, you need to calculate the average of the x-coordinates and the y-coordinates of the endpoints (points J and K).

If 7 and 2 are the x-coordinates of points J and K respectively, then adding them and dividing by 2, like in the expression (7 + 2) ÷ 2, would indeed compute the average of the x-coordinates. On the other hand, if 7 and 2 are the y-coordinates, the same applies.

The correct response would be:

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

Or, if 7 and 2 are y-coordinates:

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

Please check which coordinates 7 and 2 represent to finalize the answer.