Question

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

Explanation:

Step1: Recall mid - point formula

The mid - point of a line segment (in 2D or 3D etc., here for a vertical segment) has coordinates that are the average of the coordinates of the endpoints. For a vertical segment, we consider the y - coordinates (assuming a 2D Cartesian plane with x and y axes). The mid - point's y - coordinate is the average of the y - coordinates of the endpoints. And for the x - coordinate, if it's a vertical segment, the x - coordinate of the mid - point is the same as the x - coordinate of either endpoint (since all points on a vertical line have the same x - value).
The blanks should be filled as follows:

• x - coordinate = x - coordinate of endpoints
• y - coordinate = average of y - coordinates of endpoints

Answer:

• x - coordinate = x - coordinate of endpoints
• y - coordinate = average of y - coordinates of endpoints