High School Geometry TEKS Standards

apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles.

apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and congruent angles.

determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems.

derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines.

distinguish between undefined terms, definitions, postulates, conjectures, and theorems, and use these to construct logical arguments.

apply theorems about circles to determine arc lengths, angle measures of central angles and inscribed angles, and sector areas.

apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.