Question

1. practice: organizing information and summarizing fill in the blanks to complete the list. midpoint of horizontal segment _ - coordinate = average of _ - coordinates of endpoints _ - coordinate = _ - coordinates of endpoints

Explanation:

Step1: Recall mid - point formula for horizontal segment

For a horizontal line segment in a coordinate - plane, if the endpoints have coordinates \((x_1,y_1)\) and \((x_2,y_2)\), the mid - point formula for the \(x\) (horizontal) and \(y\) (vertical) coordinates is used. The \(y\) - coordinate of the mid - point of a horizontal segment is the same as the \(y\) - coordinates of the endpoints (since it's a horizontal segment, \(y\) is constant). The \(x\) - coordinate of the mid - point is the average of the \(x\) - coordinates of the endpoints.
The first blank should be "y", because the \(y\) - coordinate of the mid - point of a horizontal segment is equal to the \(y\) - coordinates of the endpoints.
The second blank should be "x", because the \(x\) - coordinate of the mid - point of a horizontal segment is the average of the \(x\) - coordinates of the endpoints.

Answer:

First blank: y
Second blank: x