concepts · 7
- 01
Constructing Equilateral Triangles
Learn to accurately construct an equilateral triangle using a compass and straightedge.
- 02
The Triangle Inequality
Understand that the sum of any two sides of a triangle must be strictly greater than the third side.
- 03
Constructing Given Sidelengths (SSS)
Learn the procedural steps to construct a triangle when three valid side lengths are known.
- 04
Constructing With Angles (SAS And ASA)
Learn to construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA).
- 05
The Angle Sum & Exterior Angle Properties
Prove and apply the rule that triangle interior angles sum to 180°, and related exterior angle relations.
- 06
Altitudes And Triangle Types
Define altitudes, construct them using a set square, and classify triangles by angles.
- 07
Review: Intersecting Lines
Synthesize construction techniques, the triangle inequality, and angle properties to master triangle geometry.
