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1.2 Geometry Definitions

1.2 Geometry Definitions. Geometry Symbols. Definitions. Collinear- ________________________________ Non-Collinear- ____________________________ Coplanar- ________________________________ 4. Distance- ________________________________ __________________________________________. -11. 23.

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1.2 Geometry Definitions

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  1. 1.2 Geometry Definitions

  2. Geometry Symbols

  3. Definitions • Collinear- ________________________________ • Non-Collinear- ____________________________ • Coplanar- ________________________________ • 4. Distance- ________________________________ • __________________________________________ -11 23

  4. 5. Segment- _____________________________ _______________________________________ 6. Ray- _________________________________ Opp Ray- _____________________________ _______________________________________ 7. Congruent- ___________________________ 8. Midpoint- _____________________________

  5. 9. Bisector- _____________________________________ -____________________________________ -____________________________________

  6. 10. Angle- _____________________________________ Acute: _____________________________ Obtuse: ____________________________ Right: ______________________________ Straight: ____________________________

  7. 11. Vertical Angles- ____________________________ _______________________________________________ 12. Adjacent Angles: ___________________________ _______________________________________________ 13. Supplementary- ________________________ 14. Complementary- _______________________ 15. Perpendicular- _____________________________ 1 2

  8. 16. Plane-__________________________________ _____________________________________________ Note: ___________________________________ _________________________________________ _________________________________________ _________________________________________

  9. Examples 1. There is a Right angle at each corner of PRST. a) if angle TPO=60: RPO= ? b) if angle PTO=70: STO= ? c) if angle TOP=50: POR= ? T S O P R

  10. If CBD DBE and BD bisects CBE find • CAB= ? C D X+10 X+5 60 A B E

  11. 3. Solve for y in terms of x. 2 1

  12. D A B C

  13. J F G H

  14. C 1 2 3 B A

  15. 1.3 and 1.4 Segment and Angle Addition Postulates

  16. Define First: • Definition: _________________________ • Postulate: ___________________________________ • ___________________________________ • Theorem- ___________________________________ • ___________________________________

  17. Segment Addition Postulate _______________________________________________ _______________________________________________ _______________________________________________ A B C If B is between A and C then:

  18. Angle Addition Postulate _______________________________________________ _______________________________________________ C B B O A A O C If B lies on the interior of angle AOC then: or

  19. Examples B is between A and C, with AB=x and BC=2x+5. If AC=35: Find x and BC A B C

  20. K L 2 3 1 M A T

  21. 1.5 Postulates &Theorems

  22. You do not need to memorize the numbers, just know what the theorem or postulate says! • Postulate 5 - • ______________________________________ • ______________________________________ • _____________________________________

  23. Postualte 6: • _______________________________________ • ________________________________________ • Postualte 7: • ________________________________________ • __________________________________________ • __________________________________________ • Postualte 8: • _________________________________________ • __________________________________________

  24. Postualte 9: • _____________________________________ • ______________________________________ • Theorem 1.1: • ______________________________________ • _______________________________________ • Theorem 1.2: • _____________________________________ • ______________________________________

  25. Theorem 1.3: • ______________________________________ • _______________________________________ • _______________________________________ • Theorem 1.4: • _______________________________________ • ________________________________________ • ________________________________________ • ________________________________________

  26. Is TW on plane m? • Are TSW coplanar? • Are RWY coplanar? • Where does XY intersect • plane m? • How many lines contain point T and S? • How many planes contain T, S and X? x m T S o R W y

  27. Where do planes R & S intersect? A R B s Name 3 lines that intersect E? Name 2 planes that intersect at FG? Name 2 planes that don’t intersect? Are points RSGC coplanar? S R G H E F D C A B

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