3_2 notes - 3. Coplanar points are points that lie in the...

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3.2 Postulates, Definitions, and properties Postulate - a that is accepted without . Sketch the following. If pt. Y is between pts. X and Z, then X, Y, and Z are collinear and XY + YZ = XZ Definition- the meaning of a word. An obtuse angle is an angle that measures between 90°and 180°. Biconditional- a statement that contains the words and . It is equivalent to writing a conditional and it’s converse, if p then q, and if q then p. Complete the table using page Property Example Symmetric Property: If a = b , then b = a . Transitive Property: Substitution Property: If a = b , then a can be substituted for b (and b for a ). Addition Property: If AC = BD , then AC BC = BD BC .
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For Exercises 1–4, tell whether each statement is a postulate or a definition. Tell which diagram, (a) or (b), illustrates the situation. 1. Points that are on the same line are collinear. 2. Three noncollinear points determine a plane.
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Unformatted text preview: 3. Coplanar points are points that lie in the same plane. 4. Two points determine a line. For Exercises 58, tell whether each argument uses inductive or deductive reasoning. 5. The rain stopped, and the sun came out. Next, a rainbow will appear. 6. Jose put $25 into savings each week for 10 weeks. Therefore, Jose has put $250 into savings during this period. 7. Quadrilateral RTGL is a rectangle. All rectangles are parallelograms. So quadrilateral RTGL is a parallelogram. 8. The first three numbers of a pattern are 1, 2, 4. So, the next number is 7. Identify the property that makes each statement true. 9. Tell which of the two arguments is invalid. Explain why it is invalid. 13. (a) Vertical angles are congruent. . Therefore, and are vertical angles. (b) Vertical angles are congruent. and are vertical angles. Therefore, ....
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This note was uploaded on 07/19/2010 for the course MATH Geo100 taught by Professor Any during the Spring '10 term at École Normale Supérieure.

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3_2 notes - 3. Coplanar points are points that lie in the...

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