Texas Gateway: Using Logical Reasoning to Prove Conjectures About Quadrilaterals

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.

Given examples of quadrilaterals and their component parts, the student will use explorations and concrete models to prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or...

The student will use triangle relationships to prove the Pythagorean Theorem and solve problems.

The student will investigate patterns to make conjectures about geometric properties.

This activity is used to practice making tables for investigating a geometrical problem and to develop techniques for trying different constructions to prove a theorem.

Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.

[Accessible by TX Educators. Free Registration/Login Required] The student will use models to develop formulas and connect them to the volume of prisms, spheres, cylinders, pyramids, and cones.

Given real-life problems, the student will use the Pythagorean Theorem to solve the problems.

Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.