- Create diagrams using a straightedge
- Use a compass to construct a circle
Required materials: compass, straightedge, patty paper
Gain familiarity with the construction tools by drawing multiple lines and circles. Then, follow these steps:
- Draw a point, label it
$A$ - Draw a circle centered at
$A$ - Mark a point on the circle, label it
$B$ - Draw a circle centered at
$B$ going through$A$ - Draw segment
$\overline{AB}$
Line segment: a set of points on a line with two endpoints
. . .
Circle: a set of all points that are the same distance (radius) from a given point (center)
Given segment
- Draw a circle centered at
$A$ with radius$AB$ - Mark a point at the middle of
$\overline{AB}$ , label it$C$ - Draw a circle centered at
$B$ with radius$BC$ - Label the intersection above
$B$ as$D$ and below$B$ as$E$ - Draw segments
$\overline{AD}$ ,$\overline{DE}$ , and$\overline{AE}$ , and trace$\Delta ADE$ onto patty paper
Compare your
Why might they be different? How could we ensure they are all the same?
- Draw points in blank space, on objects, and at intersections
- Draw segments, rays, and lines through two points
- Draw a circle centered at a point and through another point
- Set compass to a length between two points then move the compass
The figure shows the first few steps of constructing a regular hexagon. Complete the construction.
(image)
How does your regular hexagon compare to your neighbors?
A regular polygon has sides with equal lengths. How can you be sure your hexagon is a regular hexagon?
A straightedge can be used to create line segments. Line segments are named by its endpoints.
A compass can be used to create circles. Circles are named by its center and radius.