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1.3: Angles -angle pairs

1.3: Angles -angle pairs. GSE. M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines. Types of Angle Relationships. __________ Angles ________ Angles _________ Pairs

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1.3: Angles -angle pairs

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  1. 1.3: Angles-angle pairs GSE M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines

  2. Types of Angle Relationships • __________ Angles • ________ Angles • _________ Pairs • ___________ Angles • ____________ Angles

  3. 1) Adjacent Angles • Adjacent Angles - Angles sharing one side that do not overlap 2 1 3

  4. 2)Vertical Angles • Vertical Angles - 2 non-adjacent angles formed by 2 intersecting lines (across from each other). They are CONGRUENT !! 1 2

  5. 3) Linear Pair • Linear Pairs – adjacent angles that form a straight line. Create a 180o angle/straight angle. 2 1 3

  6. 4) Supplementary Angles • Supplementary Angles – two angles that add up to 180o (the sum of the 2 angles is 180) Are they different from linear pairs?

  7. 5) Complementary Angles • Complementary Angles – the sum of the 2 angles is 90o

  8. Angle Bisector • A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. A D B C

  9. Ex: If FH bisects <EFG & m<EFG=120o, what is m<EFH? E H F G

  10. Last example: Solve for x. BD bisects ABC A D x+40o 3x-20o C B Why wouldn’t the Angle Addition Postulate help us solve this initially?

  11. Assignment

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