Hexagon
This is the first shape you will create to make a regular hexagon with your two tools
What is a circle?
This is what makes a triangle an equilateral triangle
What are having all the sides the same length?
This means to bisect something
What is to cut it into two equal parts?
This uses fewer steps: The creation of a line perpendicular to a line or the creation of a line parallel to a line
What is the creation of a line perpendicular to a line?
This is the definition of a square
What is a quadrilateral with four equal sides and equal angles.
or
What is a regular quadrilateral
A hexagon has this number of sides
What is six?
The first four steps to create an equilateral triangle, formed entirely by compass moves, will also create this shape with the use of a straight edge.
What is a regular hexagon?
This is the first step to creating an angle bisector.
What is to use a compass to create two points the same distance from the vertex?
This is the definition of parallel lines.
What are two lines which never intersect?
This is the minimum number of circles you will make with your compass in the creation of a square
What is three?
When performing your first step to creating a regular hexagon, this is what will determine the side lengths
What is the radius of the circle?
If you triangulate a regular hexagon, you will have this number of resulting equilateral triangles.
What are six?
Of these two constructions: A perpendicular bisector and a perpendicular line going through a point on the line, this is the one which takes less time to create.
What is a perpendicular bisector?
To create a parallel line, you must go through all the steps to make this construction
What is a perpendicular line?
Your teacher will show you figure 3. This is the next step you would make to create a square.
What is drawing a circle centered at the intersecting lines with radius AB
If you connect each of the vertices of the sides of the hexagon with the center point of the center circle, you will have these shapes.
What are equilateral triangles.
The creation of a flower construction with six circles will give you this many different size equilateral triangles
What is three?
This is the name of the point on the line segment which the perpendicular bisector will intersect.
What is the midpoint?
Your teacher will show you a figure from the creation of our parallel line constructions. Tell what will determine how far apart the parallel lines are.
What is the shortest distance from C and the line?
Your instructor will show you figure 3. This is the feature of the square that length AB will become
What is a diagonal?
This is the number of circles you need to create to use a compass and straight edge to make a regular hexagon.
What is seven?
Display the construction
If Ray BD is the angle bisector of angle ABC and angle ABD is 48 degrees, this is the measurement that BDC will be.
What is 48 degrees?
After you have created a perpendicular line, tell the next step you would make towards creating a parallel line to your original line
What is creating two circles centered equidistant from one another on the perpendicular line?
If you start making a square with two circles of radius 1 inch, this will be the side length of your resulting square
What is the square root of 1/2?
Will also accept the square root of 2 over 2