[i]Drawings[/i] of geometric figures are created using measuring tools such as a ruler and protractor. [b][u]Constructions [/u][/b]are methods of creating these figures without the benefit of measuring tools. Generally, only a pencil, straightedge, and compass are used in constructions. [i]Sketches[/i] are created without the use of any of these tools.

[i]A compass can be used to create two equal segments, a copy, instead of using a ruler to measure.[/i][br][br][b]Step 1:[/b] Use the "segment between two points" button image to draw points A and B connected by a segment. To create, select the button and then two locations anywhere in the window.[br][br][b]Step 2:[/b] Use the "new point" tool to draw point C anywhere in the window.[br][br][b]Step 3:[/b] Select the "compass" (circle) button. [b][u]Choose points A and B[/u][/b] to define the size of the circle which also represents the length of the line.[b][u] Then, choose (select) point C[/u][/b] to direct the program to create a circle with center point C, also known as Circle C, or ⊙C.[br][br][b]Step 4: [/b]Create a fourth point anywhere[b][u] on the edge[/u][/b] of ⊙C with the "new point" tool.[br][br][b]Step 5:[/b] Use the "segment between two points" button to construct a segment between point C and your new point. [br][br][b]Step 6: [/b]Use the "distance or length" tool to measure the length of your original and new segment. The measurements should be equal.[br][br][b]Step 7:[/b] Create a fifth point anywhere[b][u] on the edge [/u][/b]of ⊙C with the "new point" tool. Construct a segment between point C and your new point.[br][br][b]Step 8:[/b] Again use the "distance or length" tool to measure the length of your new segment. This measurement should also be the same.[br][br][b]Step 9: [/b]Use the "ABC" tool to first [b][u]write your name [/u][/b]and then answer the questions: What would happen if you chose a 6th point on ⊙C and measured the segment? Why would this pattern continue? What is the relationship between the circle and each of the segments?[br][br][b]Step 10: [/b]Take a screen shot of your work below.