Algebra help Please????

Question

Classify the following as true or false.
A ray has two endpoints.
A line segment contains an infinite number of points

Answer 1

False, a ray has one endpoint and continues on forever.

True.

Let's say that the ray is a number line. So we'll quantify the beginning of the number line at the number 1, and we'll call the end of the ray, 2.

So in between this number line between 1 and 2, our ray, we want to see if there are multiple points between them, hopefully infinity.

We know that in between 1 and 2 there are numbers, which represent points, 1.2, 1.3, 1.4, 1.5, 1.6 and so on.

But then there are also numbers 1.02, 1.002, 1.0002, 1.00002, and 1.000000002, and so on. In fact you could do that an infinite amount of times, each one of those numbers representing a point on the line.

Zeno's paradox also illustrates this point, showing how there are infinite midpoints in a ray like this. you can look it up if you want more information on that.

Answer 2

1. F : a ray only has 1 endpt.
2. T : you can have an infinite # of pts on a line.

Answer 3

true, a line always continues

Answer 4

1. false
2. true

Doug