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Skills available for Texas Geometry standards

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9-12.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.

9-12.2 The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures.

9-12.3 The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity).

9-12.4 The student uses the process skills with deductive reasoning to understand geometric relationships.

9-12.5 The student uses constructions to validate conjectures about geometric figures.

9-12.6 The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.

9-12.7 The student uses the process skills in applying similarity to solve problems.

9-12.8 The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.

  • 9-12.8.A prove theorems about similar triangles, including the Triangle Proportionality theorem, and apply these theorems to solve problems; and

  • 9-12.8.B identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems.

9-12.9 The student uses the process skills to understand and apply relationships in right triangles.

9-12.10 The student uses the process skills to recognize characteristics and dimensional changes of two- and three-dimensional figures.

9-12.11 The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures.

9-12.12 The student uses the process skills to understand geometric relationships and apply theorems and equations about circles.

9-12.13 The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events.