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Published byFrank Geoffrey Carpenter Modified over 4 years ago

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**Chapter 2.7 Notes: Prove Angle Pair Relationships**

Goal: You will use properties of special pairs of angles.

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**Theorem 2.3 Right Angles Congruence Theorem:**

All right angles are congruent. Theorem 2.4 Congruent Supplements Theorem: If two angles are supplementary to the same angle (or to congruent angles), then they are congruent. Theorem 2.5 Congruent Complements Theorem: If two angles are complementary to the same angle (or to congruent angles), then they are congruent.

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Intersecting Lines: When two lines intersect, pairs of vertical angles and linear pairs are formed. Postulate 12 Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. Theorem 2.6 Vertical Angles Congruence Thm: Vertical angles are congruent.

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**Ex. 1: Use the diagram for (a) – ( c). a. If , find b. If , find c**

Ex.1: Use the diagram for (a) – ( c). a. If , find b. If , find c. If , find

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Ex.2: Find x and

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**Ex.3: Solve for x and y. Find A B (8y – 5) (9x + 12) O (12x – 12) (10y – 15) C D **

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Ex.4: Find x and y.

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Ex.5: Find x and y.

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**Ex. 6: Write a two-column proof. Given: are complements**

Ex.6: Write a two-column proof. Given: are complements. are complements. Prove:

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