# Geometry

• Coordinate and Transformational Geometry

Students understand the connection between algebra and geometry and use the one- and two-dimensional coordinate systems to verify geometric conjectures. Students generate and describe transformations (dilations, translation, reflection, and rotation).

New TEKS:

• Determine the coordinates of a point (endpoints are a fractional distance less than 1)
• Identify the sequence of transformations performed for a given pre-image and image (on or off the coordinate plane)
• Identify and distinguish between reflectional and rotational symmetry in a plane figure

Logical Argument and Constructions

Students use process skills with deductive reasoning to understand geometric relationships. Students use constructions to validate conjectures about geometric figures.

New TEKS:

• Recognize the connection between a bi-conditional statement and a true conditional statement with a true converse
• Verify the Triangle Inequality Theorem using constructions and apply the theorem to solve problems

Two-Dimensional and Three-Dimensional Figures

Students recognize characteristics and dimensional changes of two- and three-dimensional figures.

New TEKS:

• Identify three-dimensional objects generated by rotations of two-dimensional shapes

Circles

Students understand geometric relationships and apply theorems and equations about circles.

New TEKS:

• Describe radian measure of an angle
• Determine the equation for the graph of a circle

Probability

Students understand probability in real-world situations and how to apply independence and dependence of events.

New TEKS:

• Develop strategies to use permutations and combinations to solve contextual problems
• Identify whether two events are independent and compute the probability of the two events occurring together with or without replacement
• Apply conditional probability in contextual problems
• Apply independence in contextual problems