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Which congruence theorem could you use? Rewrite the proof using that theorem. 34. Abstract Furnishings is a company that specializes in designing and making unusual furniture. The diagram shows one of their bookshelf designs. 2 C A D E B 1 34 a. Complete the two-column proof. Given: 1 D 2 Prove: 3 D 4 Statements Reasons 1. 1 D 2 2. m 1 m 2 You may use that in proofs, or you can use the bolded part—the name of the postulate/theorem when applicable, or the actual statement of the theorem. Remember that you must cite a theorem by name or write it in a complete sentence!) Basic Postulates: Reflexive Property: Any quantity is equal/congruent to itself. Symmetric Property: If a b, then

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Due to the examples given in the answer to this question, I know that the conclusion is of course incorrect.But by reading Kaplansky's proof of theorem 1 in this paper and replacing every occurrence of the word "countably" by "finitely" there (both in the statement and the proof), I'm not able to observe where the proof fails. a) The Reflexive Property: Think of when you look in a mirror and you see your reflection. Any time you have a number (angle, side length, etc.), you can always . write that it is equal (or congruent) to . itself. Examples: 10 = 10, x = x, AB AB≅ , m ABC m ABC∠=∠ When will this be used? Whenever two figures share something.

acute angle A. a statement that is accepted as true without proof 2. congruent segments B. an angle that measures greater than 90° and less than 180° 3. obtuse angle C. a statement that you can prove 4. postulate D. segments that have the same length 5. triangle E. a three-sided polygon F. an angle that measures greater than 0° and less than ...