Drawing triangles with given conditions
Can you draw a unique triangle with the given information, or several different ones? We look at six different situations:
- an equilateral triangle (e.g. all angles 60 degrees)
- three angles are given
- two angles and a side between them are given
- two sides and an angle between them are given
- three sides are given
- three sides are given, but something special happens - we get no triangle!
I use a ruler, a protractor, and a compass to draw the triangles. Two of the situations are actually standard geometric constructions (equilateral triangle and a triangle with three given sides).
This lesson is meant for 7th grade math and matches the Common Core Standard 7.G.2.
See also
Drawing geometric shapes with given conditions — video lesson
Math Mammoth Geometry 3 — a self-teaching worktext with explanations & exercises (grades 4-5)
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