An axiom in Euclidean geometry states that in space, there are at least three points that do what
2 answers:
Answer with Explanation:
As, euclidean geometry that is axioms and postulates is valid for two as well three dimensional space.
If there are three points in Space, then
1. If all of them are Collinear, they will form a straight line segment.
2. Otherwise ,they will form a closed three dimensional shape similar to triangle in in two dimensional.
It can be explained by, taking stars as a point in the space. If three stars lie in the same line, and if you join them ,it will form a line segment, otherwise it will be in the shape of triangle.
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Answer:
3
Step-by-step explanation:
because if you are doing negatives it is kinda like subtracting
9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
- find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
- define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
- figure the area from the coordinates of the vertices.
- use Pick's theorem and count the dots.
We choose the latter.
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Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
