Planes, Figures, Shapes, and Triangles
Read this topicExplanations 7
- Definition There are a few ways to define a plane. You could define a plane with a line, and some point that isn't on that line. You could also define a plane using two distinct…
By Anonymous
- Definition (from a vector perspective) Intuitively, a plane is a "flat," two-dimensional surface. More formally, a plane in Euclidean space is, for some point PPP and two non-pa…
By Sammy Luo, Andrew Machkasov
- a flat surface on which a straight line joining any two points on it would wholly lie.
By Sharad Kakkad
- Do any three points really define a plane? So... when do three points not define a plane?? Think about it a bit before moving on. It turns out that while three points are the mi…
By Vinjai Vale, Alex Federspiel
- When studying geometry it is important to know some key terms. In this explanation we will begin to discuss some of those key terms such as planes, figures, shapes, and triangle…
By Victoria Rodriguez
- In drawings: Planes, Figures, Shapes, Triangles \\ A plane is a surface. In math, a plane is often represented by the Cartesian coordinate system: We often say being on a plane …
By Christine
- To be specific, the three points must actually be non-collinear in order to determine a unique plane. If the three points given were on the same line, then they would in fact al…
By Brent Ferguson
Problems 16
- How many distinct points does it take to define a unique plane?
- Which of the following always define a unique plane?
- Which of the following is not contained within a plane?
- Which of the following objects are like a plane? Select all that apply.
- Which of the following don't always define a plane?
- Which of the following does define a unique plane?
- Which of the following is most like a plane?
- True or False\text{True or False}True or False === A point can exist in more than one plane?
- True or False\text{True or False}True or False === If two points are collinear, they are coplanar as well.
- If two planes intersect, they intersect at a _____?
- Let's say we have two co-linear points, which of the following can not be added to make a plane.
- True or False\text{True or False}True or False === Three points always define a plane.
- Slice through the pyramid. What shape do you get? In other words, what is the shape of the slice?
- A rectangle has two adjacent sides that are equal in length. What can be said about this rectangle?
- How many triangles are there in the shape above?
- How many dimensions does a plane have?