What is a Geometry Construction?
People all over the world have studied visual patterns and used mathematics to describe (or predict) them. The Egyptians, Babylonians and Greeks came up with a set of tools and rules for making mathematically precise visuals, which were then utilized in art, religion, and architecture.
So what are constructions? Constructions are very precise ways we make shapes, lines, and curves using ONLY a pencil, compass, and a straightedge (anything that allows us to make a straight line).
Note the construction at left. The green overlapping circles help make a pentagon (blue) and a five-pointed star (purple). Where do you think the circles need overlap in order to later produce a pentagon? How could you determine where the second circle will begin? These questions might help you begin to manipulate and design your own constructions.
In our class, we will learn to make perpendicular lines, congruent angles, equilateral triangles, and so much more!
People all over the world have studied visual patterns and used mathematics to describe (or predict) them. The Egyptians, Babylonians and Greeks came up with a set of tools and rules for making mathematically precise visuals, which were then utilized in art, religion, and architecture.
So what are constructions? Constructions are very precise ways we make shapes, lines, and curves using ONLY a pencil, compass, and a straightedge (anything that allows us to make a straight line).
Note the construction at left. The green overlapping circles help make a pentagon (blue) and a five-pointed star (purple). Where do you think the circles need overlap in order to later produce a pentagon? How could you determine where the second circle will begin? These questions might help you begin to manipulate and design your own constructions.
In our class, we will learn to make perpendicular lines, congruent angles, equilateral triangles, and so much more!
Constructions - How-To Guide & Practice
Videos
This linked document will teach you to...
1) "Construct a segment congruent to a given segment." = Precisely copy a line segment.
2) "Construct an angle that is congruent to a given angle."
3) "Construct the bisector of an angle." = Take an angle and cut it precisely in half. An excellent demonstration of how to do this is here.
Watch the below videos. You do NOT need to take notes. When you've watched the videos, highlight and mark up the instructions on the linked document to demonstrate you read them (!), then complete #1-5 on the Assignment portion of the document.
Copying a piece of a line's length.
Bisect a segment at 90 degree angle.
Construct a square.
|
Copying an angle.
Make a 90 degree angle
|
Cut an angle into two equal angles.
Cut angles of a triangle in half.
|
For My Artists |
|
|
|