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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. - PowerPoint PPT Presentation
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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
2.5 Reasoning in Algebra and Geometry
♥We accept postulates as true.
♥We also accept the properties of equality from algebra as true.
Other things we know are true
♥We know the distributive property is true:
♥And these properties of congruence:
Justifying Steps When Solving an Equation
What is the value of x?Justify each step.
1. <AOM and <MOC are supplementary
2. m<AOM + m<MOC = 180
3. (2x + 30) + x = 180
4. 3x +30 = 180
5. 3x = 150
6. X = 50
(2x + 30)◦ x◦A O C
M
1. Angles that form a linear pair are supplementary
2. Definition of supplementary <s
3. Substitution Property
4. Distributive Property
5. Subtraction Property of Equality
6. Division Property of Equality
PROOFThis 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.
Two-Column Proof
Your assignment
Pg 117; 5 – 41 all