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Skills available for Texas Geometry standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.

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1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.

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.

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).

4 The student uses the process skills with deductive reasoning to understand geometric relationships.

5 The student uses constructions to validate conjectures about geometric figures.

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.

7 The student uses the process skills in applying similarity to solve problems.

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.

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

  • 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 The student uses the process skills to understand and apply relationships in right triangles.

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

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

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

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