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The set of lessons in this geometry course is infinite or finite?
infinite
What is a 1 dimensional set of points with infinite length but no width or height?
How about the number line
Can four points be collinear?
Yes. On any straight line you can find an infinite set of 4 points which are collinear.
How many points does a line segment have?
Infinite! When you speak of a "point" on a line segment, you're referring to infinitely small locations, not physical dots that you might draw on the segment. If you think of a "point" as being located at a certain distance from one of the end points of a 3 inch segment, such as 2.31 inches from the left side, you could always add more and more decimal places to the distance, such as 2.3173... to identify an infinite number of "points" or locations on the segment. A segment has 2 points one at the end and one at the beginning.**The answer as to how many points are on a line segment is "infinite". A given line segment is determined by it's two "end points", but has an infinite set of points between and including these two end points that make up the segment itself.
Which group of points are all on the line y -2x 1?
To clarify, since you you couldn't put in symbols: Which group of points are all on the line y=-2x+1? If we are graphing over the real numbers, then there are an infinite number of points: all the points on the line. We can say this mathematically as: "The set of all points (x,y) for which y=-2x+1"
