Draw geometric shapes with given conditions

What you'll learn

1. Draw geometric shapes with given conditions using freehand sketches, ruler and protractor, and dynamic geometry tools.
2. Construct a triangle given three side lengths (SSS) and determine whether the given lengths can form a triangle using the triangle inequality.
3. Construct a triangle given two sides and the included angle (SAS) and recognize that these conditions determine a unique triangle.
4. Construct a triangle given two angles and the included side (ASA) and recognize that these conditions determine a unique triangle.
5. Explain why three angle measures alone (AAA) do not determine a unique triangle, identifying that infinitely many similar triangles satisfy the same angle conditions.
6. Analyze ambiguous triangle conditions (SSA) and determine whether zero, one, or two triangles can be formed, supporting conclusions with constructed examples.