1. A point has no size.
2. A line segment has definite length.
3. A ray’s length can be measured.
4. A line consists of an infinite number of points.
5. A plane has an infinite number of lines.
6. RS is the same as SR.
7. The endpoint of XY is point y.
8. A plane has length, width, and thickness.
9. If XY and YZ have a common endpoint, then they are opposite rays.
10. If OS and OP are opposite rays, then Q lies between S and P.
Geometric Properties and Relationships
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Sure! Let’s go through each statement one by one to determine whether they are true or false:
1. True – A point has no size, it represents a location in space.
2. True – A line segment has definite length as it is bounded by two endpoints.
3. False – A ray extends infinitely in one direction, so its length cannot be measured.
4. True – A line is composed of an infinite number of points extending in both directions.
5. True – A plane is a flat surface that extends infinitely and contains an infinite number of lines.
6. True – The segment RS is the same as SR; order doesn’t matter for line segments.
7. True – The endpoint of segment XY is at point Y.
8. False – A plane has length and width only; it does not have thickness.
9. False – If XY and YZ have a common endpoint, they form a vertex, not necessarily opposite rays.
10. False – If OS and OP are opposite rays, then O is between S and P, not Q.
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