Question

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Consider the following construction. Describe the type of construction shown above and describe the next steps to complete the construction.

Answer 1

Arc AB with a chord AB, and Trace a Circular Sector.

Explanation:

1. With a Compass, open it a certain opening with the needle in point F, and with a pencil mark it on line. This is B.

2. With a Compass needle in the right end of line (B) mark the A.

3. With a Compass needle in F, mark A.

4. With a Compass needle in F, trace arc AB

With this construction, we have an arc with F, the Focus, Radius FA=FB, and AB perpendicular to F.

5. You can proceed with a Ruler connecting the dots F to A, and F to B and we can have a Circular Sector.

Answer 2

This is the construction of a perpendicular line to the given line AB using a point F, which does'not lies on the line AB.

The first two steps are constructed. We have to give the next two steps to complete the construction.

Step 3: Using the same radius A and B as centers, draw two arcs below the line AB.

Step 4: The two arcs will intersect at a point. Name that point as 'X'. Join 'F' and 'X'.

Thus, FX is the required perpendicular to the line AB from point 'F'.