TaskTwo points, A and B, are given. Construct a circle passing through both A and...
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Accounting
Task
Two points, A and B, are given. Construct a circle passing through both A and B. Use
only these five basic constructions.
1. Given two points, we can draw a line through the points.
2. Given two points, we can draw a circle centered at one and passing through it
Other.
3. We can mark the intersection of two lines.
4. We can mark the points of intersection between a line and a circle.
5. We can mark the points of intersection between two circles.
Accounting
When you write down your solution, use the four headings analysis, construction protocol,
evidence and discussion. Write concisely and clearly.
Analysis: Draw a figure showing how the construction should look when it is finished.
Construction protocol: Specify step by step how to construct the figure. Enter in each step
which of the five basic constructions you use.
Evidence: This step is the most important. Here you must prove that the figure you have constructed has
the requested characteristics. In this case, that the circle you constructed really goes through
points A and B.
Discussion: Does the task have one or more solutions? Or maybe there is no solution
at all? Can the figure you drew in the analysis step look different?
Two points, A and B, are given. Construct a circle passing through both A and B. Use
only these five basic constructions.
1. Given two points, we can draw a line through the points.
2. Given two points, we can draw a circle centered at one and passing through it
Other.
3. We can mark the intersection of two lines.
4. We can mark the points of intersection between a line and a circle.
5. We can mark the points of intersection between two circles.
Accounting
When you write down your solution, use the four headings analysis, construction protocol,
evidence and discussion. Write concisely and clearly.
Analysis: Draw a figure showing how the construction should look when it is finished.
Construction protocol: Specify step by step how to construct the figure. Enter in each step
which of the five basic constructions you use.
Evidence: This step is the most important. Here you must prove that the figure you have constructed has
the requested characteristics. In this case, that the circle you constructed really goes through
points A and B.
Discussion: Does the task have one or more solutions? Or maybe there is no solution
at all? Can the figure you drew in the analysis step look different?
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