Question

1. practice: making mental images and summarizing

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

Explanation:

Step1: Recall the property of horizontal segments

In a two - dimensional coordinate system, for a line segment with endpoints \((x_1,y_1)\) and \((x_2,y_2)\), if \(y_1 = y_2\), the segment is horizontal.

Step2: Check the y - coordinates of the given endpoints

The endpoints of the segment are \((10,0)\) and \((20,0)\). Here, \(y_1 = 0\) and \(y_2=0\). Since the y - coordinates of the two endpoints are equal, it is a horizontal segment.

Answer:

The segment is horizontal because the y - coordinates of its endpoints \((10,0)\) and \((20,0)\) are the same.