1. The Triangle Sum Conjecture 2. Isosceles Triangle Conjecture and its Converse 3. Triangle Inequality Conjecture 4. Side-Angle Inequality Conjecture 5. Triangle Exterior Angle Conjecture 6. Shortcuts to Triangle Congruence 7. CPCTC
· Isosceles triangle properties · Equilateral triangle properties · Interior and Exterior Angles · Congruent/Congruence · Triangle Congruence shortcuts (SSS, SAS, ASA, AAS) · Corresponding Parts of Congruent Triangles are Congruent (CPCTC) · Midpoint/Bisect/Angle Bisector
*G.1.F Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems. G.2.D Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.
G.3.K Analyze cross-sections of cubes, prisms, pyramids, and spheres and identify the resulting shapes. *G.4.B Determine the coordinates of a point that is described geometrically. *G.1.E Identify errors or gaps in a mathematical argument and develop counterexamples to refute invalid statements about geometric relationships.
*G.7.A Analyze a problem situation and represent it mathematically. *G.7.B Select and apply strategies to solve problems. G.7.E Read and interpret diagrams, graphs, and texts containing the symbols, language and conventions of mathematics. |