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Answer:
6 points of data, minimally.
Easiest if they are 3 points.
All data is going to be comprised of more than one unit of data itself.
For 3 points, we need 6 coordinates.
For 3 lines, we need 2 points each, and then 2 coordinates for each point.
Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.
Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.
So in a 2D space, the information required to make a figure is twice the number of vertices.
Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.
“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”
Edit… A closed figure made only of straight line segments.
I'm sorry if it has any wrong ♀️
Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:
- the length of sides of the given triangle.
- the measure of the internal angles of the triangle.
- the orientation of the triangle.
- the type of triangle given.
Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].
The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.
Some of the steps required in construction of a congruent triangle to a given one are:
1. Draw a line with a straight edge and mark a starting point.
2. copy one of the angles of the given triangle to the marked point on the line drawn.
3. Copy the length of sides of the triangle appropriately.
5. Copy the measures of other angles and length of sides to complete the congruent triangle.
Therefore, some of the least amount of information to be known for the construction are:
- the length of sides of the given triangle.
- the measure of the internal angles of the triangle.
- the orientation of the triangle.
- the type of triangle given.
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