Does adding 7+2

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

(1 point)
Responses

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

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 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 x-coordinates of points J and K.

1 answer

The correct response is:

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

To find the midpoint of a line segment, you average the x-coordinates and the y-coordinates of the endpoints of the segment. If 7 and 2 represent the x-coordinates of points J and K, then adding them and dividing by 2 gives you the x-coordinate of the midpoint. If 7 and 2 were intended to represent y-coordinates, the same logic applies. Since you are calculating the average, it helps you find the midpoint.