Q19.
Question
Classify each statement as true or false.
Through any three points there is at least one line.
Step-by-Step Solution
Verified Answer
The given statement that through any three points there is at least one line is True.
1Step 1. Requirement to draw a line.
The requirement to draw a line is that minimum two points are required to draw a line.
2Step 2. Draw three lines passing through the three points.
3Step 3. State whether the given statement is true or false.
From the diagram it can be concluded that:
If there are three points then at least one line can pass through these points.
Therefore, as line requires only two points to be drawn and if there are three points then at least one line can be drawn.
Hence the given statement that through any three points there is at least one line is true.
Other exercises in this chapter
Q17.
Classify each statement as true or false.It is possible to locate three points in such a position that an unlimited number of planes contain all three points.
View solution Q18.
Classify each statement as true or false.It is possible for two intersecting lines to be non-coplanar.
View solution Q20.
Classify each statement as true or false.If points A and B lie in plane P, then so does any point of AB↔.
View solution Q1.
State how many points meet the requirements. For the answer write none, one, or an unlimited number. Equidistant from points A and B.
View solution