Question

1. practice: organizing information and summarizing fill in the blanks to complete the list. midpoint of vertical segment

— -coordinate = — -coordinate of endpoints
— -coordinate = average of — -coordinates of endpoints

1. practice: making mental images

Explanation:

Step1: Recall mid - point formula

The mid - point of a line segment (in any dimension) has coordinates that are the average of the corresponding coordinates of the endpoints. For a one - dimensional (vertical in this case) line segment, if the endpoints have coordinates \(y_1\) and \(y_2\), the mid - point \(y_m\) is given by \(y_m=\frac{y_1 + y_2}{2}\), which means the mid - point's coordinate is the average of the \(y\) - coordinates of the endpoints.
So, the first blank is \(y\) (assuming we are dealing with a vertical line segment in a 2D - Cartesian coordinate system where the vertical axis is the \(y\) - axis), and the second blank is \(y\).

Answer:

\(y\), \(y\)