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  1. Introduction to proofs: Identifying theorems and postulates SOLUTIONS 2) Why are LQ and PN congruent segments? 1) Why is AOB COD ? Since AOC = BOD, and BOC = BOC (reflexive property), AOB = COD (subtraction property) (If congruent angles are subtracted from congruent angles, then the differences are congruent) 4) Since LP

  2. Write the converse, inverse, and contrapositive of the conditional statement. Determine whether each statement is true or false. If a statement is false, find a counterexample.

  3. This Properties Worksheet is great for testing students their working knowledge of the different properties of mathematics, such as the Associative Property, Commutative Property, Distributive Property, Identity Property, Additive Inverse Property, Multiplicative Inverse Property, Addition Property of Zero, and Multiplication Property of Zero.

  4. Properties. We will utilize the following properties to help us reason through several geometric proofs. Reflexive Property. A quantity is equal to itself. Symmetric Property. If A = B, then B = A. Transitive Property. If A = B and B = C, then A = C. Addition Property of Equality. If A = B, then A + C = B + C. Angle Postulates Angle Addition ...

  5. Definition of Complementary Two angles that add to 90 degrees. Definition of Supplementary Two angles that add to 180 degrees. Definition of Linear Pair Adjacent angles that form a straight angle.

  6. The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1. The multiplicative inverse of 'a' is denoted by 1/a. Learn the situations to use the multiplicative inverse examples.

  7. PROPERTIES AND PROOFS OF SEGMENTS AND ANGLES. In this unit you will extend your knowledge of a logical procedure for verifying geometric relationships. You will analyze conjectures and verify conclusions. You will use definitions, properties, postulates, and theorems to verify steps in proofs.