Geometry Benchmarks

First Quarter

4.12.6 Use complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons to solve practical problems.

8.12.5 Follow a logical argument and judge its validity.

8.12.7 Apply inductive and deductive reasoning in solving problems.

Second Quarter

4.12.6 Use complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons to solve practical problems.

4.12.8 Use tools, technology, and models to sketch, draw, and construct geometric figures in order to solve problems and to demonstrate the properties of geometric figures.

Third Quarter

4.12.1 Identify and use the properties of polygons (including interior and exterior angles) and elements of circles (e.g., angles, arc, chord, secants, and tangents) to solve practical problems.

4.12.7 Apply the Pythagorean Theorem, its converse, properties of special right triangles, and right triangle trigonometry to solve practical problems.

Fourth Quarter

3.12.5 Use relationships and formulas to determine the measurement of unknown dimensions, angles, areas, and volumes to solve problems.

4.12.9 Construct, justify and defend mathematical conclusions using logical, sequential, deductive reasoning supported by established mathematical principles.