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Welcome to class . Please get your folders.

Welcome to class . Please get your folders. I need a couple of volunteers to hand out papers from the black tray . We are going to go over your last quiz and grade homework before we take today’s quiz . Eventually you will need a scissors and a glue stick.

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Welcome to class . Please get your folders.

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  1. Welcome to class. • Please get your folders. • I need a couple of volunteers to hand out papers from the black tray. • We are going to go over your last quiz and grade homework before we take today’s quiz. • Eventually you will need a scissors and a glue stick

  2. 2.5 Reasoning in Algebra and Geometry • We accept postulates as true. • We also accept the properties of equality from algebra as true.

  3. Other things we know are true • We know the distributive property is true: • And these properties of congruence:

  4. Justifying Steps When Solving an Equation M What is the value of x? Justify each step. (2x + 30)◦ x◦ A O C <AOM and <MOC are supplementary m<AOM + m<MOC = 180 (2x + 30) + x = 180 3x +30 = 180 3x = 150 X = 50 Angles that form a linear pair are supplementary Definition of supplementary <s Substitution Property Distributive Property Subtraction Property of Equality Division Property of Equality

  5. PROOF This will be your new best friend. Spend a lot of time with it ♥ • A proof is a convincing argument that uses deductive reasoning. • A proof logically shows why a conjecture is true. • A two-column proof lists each statement on the left and the justification, or reason, on the right. • Each statement must follow logically from the steps before it.

  6. Two-Column Proof

  7. Your assignment Pg 117; 5 – 41 all

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