TEKS: Chapter 111. Mathematics See All Teacher Resources

111.41.c.4

(4) Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. The student is expected to:

• (A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems;

• (B) identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse;

• (C) verify that a conjecture is false using a counterexample; and

• (D) compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle.