Saturday, August 14, 2010

Line Segments

Read pages 69-70.

Particularly study Theorem 2 and its proof. This course does lots of proofs. If you want more information on the steps of making a proof, look at Mastering the Formal Geometry Proof.

DO:

Set I: #1-6, 12-19
Set II: #29-30, 34 -35

Example of an Algebra Proof


5(x + 5) = 16x - 8
5x + 25 = 16x - 8
5x + 25 - 16x = - 8
-11x + 25 = -8
-11x = -33
x = 3



Given: 5(x + 5) = 16x - 8
Prove: x = 3

Statements | Reasons
5(x + 5) = 16x - 8 | Given
5x + 25 = 16x - 8 | Distributive Property
5x + 25 - 16x = - 8 | Subtraction Property of Equality
-11x + 25 = -8 | Distributive Property
-11x = -33 | Subtraction Property of Equality
x = 3 | Division Property of Equality

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