Unit 1, Lesson 1
Build It
Integrated Math 1
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Copy this figure using only a pencil, and no other tools.
Complete these steps with a straightedge and compass:
Here is a hexagon with all congruent angles and all congruent sides (called a “regular hexagon”).
Here is a figure that shows the first few steps to constructing the regular hexagon. Use straightedge and compass moves to finish constructing the regular hexagon. Trace it onto tracing paper and confirm that when you fold it in half, the edges line up.
To construct geometric figures, we use a straightedge and a compass. These tools allow us to create precise drawings that someone else could copy exactly.
We describe a circle by naming its center and radius. Here is the circle centered at with radius .
Early mathematicians noticed that certain properties of shapes were true regardless of how large or small they were. Constructions were used as a way to investigate what has to be true in geometry without referring to numbers or direct measurements.
A circle of radius with center is the set of all points that are a distance units from .
To draw a circle of radius 3 units and center , use a compass to draw all the points at a distance 3 units from .
A line segment is the set of all points on a line between two endpoints.