(1) The benchmark for mathematics content standard 3 for a student upon graduation is the ability to:

(a) formulate and evaluate conjectures about geometric objects and their properties, with and without technology, applying inductive reasoning when appropriate;

(b) use spatial reasoning and geometric models to solve problems with and without technology in the contexts of art, science, and culture, including Montana American Indians;

(c) identify, analyze, and use transformational, coordinate, and synthetic geometric approaches to solve problems;

(d) determine measures of two- and three-dimensional objects and their elements using trigonometric ratios, proportionality, the Pythagorean Theorem, and angle relationships; and

(e) establish the validity of geometric conjectures, using deductive reasoning, indirect proof, and counterexamples, and critique arguments made by others.