Question

1. practice: making mental images and summarizing

the endpoints of a segment are (0, 10) and (0, 20).
how do you know it is a vertical segment?

Explanation:

Step1: Recall the property of vertical segments

In a coordinate - plane, for a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\), if \(x_1 = x_2\), the segment is vertical.

Step2: Analyze the given endpoints

The endpoints are \((0,10)\) and \((0,20)\). Here, \(x_1=0\) and \(x_2 = 0\). Since the \(x\) - coordinates of the two endpoints are the same, it is a vertical segment.

Answer:

The segment is vertical because the \(x\) - coordinates of its endpoints \((0,10)\) and \((0,20)\) are equal.