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Q: Who studied points lines angles and planes relate to one another?
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Studied how points lines angles and planes relate to one another?

Euclid not Euripides


What are the properties of geometric mean?

Shapes, angles, lines, points, and planes.


Do angles planes segments points line and rays have one dimension and infinite length?

No.


Two coplanar angles that have a common side and a common vertex but no common interior points?

adjacent planes


Do points lie on lines that are in planes?

Not necessarily. Points may lie in different planes.


What is the greatest number of planes that can pass throughg 3 collinear points?

If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.


Two angles with a common side but no common interior points are what?

This is the definition for adjacent angles in geometry. Adjacent angles cannot overlap one another. Adjacent angles also have a common vertex.


Are all points of a cube coplanar?

Individual points on one side of the cube are coplanar. Points on one side might not nessasarily be coplanar with points on another side. The corners of a cube are exactly coplanar to three planes, but not all planes of the cube. In fact, no point on the cube is coplanar to all other points on the cube.


Do adjacent angles have common interior points?

Yes, adjacent angles do have common interior points.


What is the greatest number of planes determined by four noncolinear points?

4 planes.


How many planes can contain two given points?

If 2 points determine a line, then a line contains infinitely many planes.


How many planes contain the same three collinear points?

Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.