Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Points, Lines, and Planes
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Exercise 9 Page 384

To find collinear points, look along the lines in the diagram.

Example Solution: Q, R, and S are collinear.
W is not collinear with these points.

Practice makes perfect

In this exercise, we want to find three points that are collinear. Then we will name a fourth point that is not collinear with them. In the diagram, there are two lines. To find collinear points, we should investigate the points on those lines. Let's consider the given diagram and mark these points.

On line g, there are two points: Q and W. On line f, there are three points: Q, R, and S. Therefore, the only three collinear points are Q, R, and S. A point that is not collinear with these three would be any point not on line f, such as W.

Extra

Alternative Answer
We have stated before that the only three collinear points in our diagram are Q, R, and S. A point that is not collinear with these points would be any point not on line f. There are two points that do not lie on line f, W and T. As the example answer to the exercise we chose point W, but choosing point T is also correct.