Construction of Larger Figures

Rule

Instructions for Larger Constructions

1.
Draw a simplified figure from the information in the exercise. Make sure all the information from the exercise is represented in the figure.
2.
Go through the steps of the construction in your head before you start. This way, you can figure out if your strategy will work.
3.
Build the steps such that you always have the information, lines and angles you need for the next step.
4.
It’s smart to start with an angle if one is described in the exercise.
5.
If the distance from a point to a line is given, construct a parallel to the point at that distance.
6.
Larger constructions will test you on the same constructions you’ve done before, and nothing else!
7.
If you know the different methods of construction listed here, then you already have all the tools you need to master the assignment.
8.
Be creative, and try different methods if you’re not certain. You’ll get there!
9.
Even if you’re not sure where to start, do something anyway: Draw a line, find an angle, calculate a side. Just doing something gets your brain going, and other ideas will come to you in due course.
10.
ABC is the angle spanned by the lines BA and BC.

Example 1

Given the line AB = 7cm, construct a 45 angle at A and a 30 angle at B such that a triangle is formed with a peak C. Construct a parallel to the line AB through C.

1.
Make a simplified figure that is a small copy of what you’re constructing. Mark the angles, lengths and other information.
2.
Begin constructing:

Construction of a triangle and a parallel 1

Construction of a triangle and a parallel 2

Construction of a triangle and a parallel 1

Construction of a triangle and a parallel 2

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