Geometry Worksheet Beginning Proofs

1) a = b 1) Given

2) a2 = ab 2) Multiply both abandon by a

3) a2-b2 = ab-b2 3) Subtract b2 from both sides

4) (a b)(a-b) = b(a-b) 4) Factor both sides

5) (a b) = b 5) Bisect both abandon by (a-b)

6) a a = a 6) Substitute a for b

7) 2a = a 7) Addition

8) 2 = 1 8) Bisect both abandon by a

Part one: Footfall bristles is wrong. The rules of mathematics do not acquiesce us to bisect by zero.

Since a and b are equal, (a-b) = 0. Therefore, we cannot bisect by (a-b)!

Note: To explain why you can’t bisect article by zero, ask your apprentice how she would bisect a pizza into 0 pieces. Impossible! The atomic cardinal of pieces she could accomplish would be one piece—the accomplished pizza!

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