Respuesta :
The methods that we can use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0,15) are: Option B: Count by hand, Option D: Dividie 15 by 2
What is the midpoint of a line segment?
Midpoint of a line segment that lies in the mid of that line segment, as the name 'midpoint' suggests.
If the endpoints of the considered line segments are (a,b), and (c,d), then the coordinates of the midpoint would be:
[tex](x,y) = \left(\dfrac{c-a}{2}, \dfrac{d-b}{2}\right)[/tex]
We're specified here that:
- The line segment in consideration is vertical.
- The endpoints of the line segment are (0,0) and (0,15).
Since the line is vertical, we can easily find its midpoint by going up by half of the length of the line segment.
The y-coordinate starts from 0 and goes to 15 and x-coordinate is still all along the line as the line is vertical, so the length's half is (15-0)/2 =15/2 = 7.5 units. This gives the y-coordinate of the midpoint as visible in the formula specified above.
If we go this units up, we will reach the midpoint. Since x-coordinates of the points in the line segment are fixed to 0, so the midpoint's coordinates are (0, 7.5)
We can also count by hand as there is motion only in y-coordinates, so move half of the total motion upwards from (0,0) or half of the total length downwards from (0,15).
So we see, that the second method and the fourth method listed in the option can be used.
Thus, the methods that we can use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0,15) are: Option B: Count by hand, Option D: Dividie 15 by 2
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