Question

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

Explanation:

Step1: Recall mid - point formula for vertical segment

For a vertical line segment, the x - coordinate of the mid - point is the same as the x - coordinate of the endpoints (since the x - values are equal for all points on a vertical line). The y - coordinate of the mid - point is the average of the y - coordinates of the endpoints.
The general mid - point formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). For a vertical segment \(x_1=x_2\), and the mid - point's x - coordinate is \(x=x_1=x_2\), and the mid - point's y - coordinate \(y=\frac{y_1 + y_2}{2}\). So the blanks should be filled with 'x' and 'y'.

Answer:

x; y