CK-12 Geometry-Concepts

http://www.ck12.org Chapter 2. Reasoning and Proof

2.

TABLE2.25:

Statement Reason

1.^6 Lis supplementary to^6 M,^6 Pis supplementary to

(^6) O

1. Given
   2.^6 L+^6 M=180,^6 P+^6 O= 180 2. Definition of Supplementary Angles
   3.^6 L+^6 M=^6 P+^6 O 3. SubstitutionPoE
   4.^6 L∼=^6 O 4. Given
   5.^6 O+^6 M=^6 P+^6 O 5. SubstitutionPoE
   6.^6 M=^6 P 6. SubtractionPoE

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Write a two-column proof for questions 1-5.

1.Given:^6 MLN∼=^6 OLPProve:^6 MLO∼=^6 NLP

2.Given:AE⊥ECandBE⊥EDProve:^61 ∼=^63

3.Given:^61 ∼=^64 Prove:^62 ∼=^63

4.Given:l⊥mProve:^61 ∼=^62