1.2 Geometry Definitions. Geometry Symbols 1.Collinear- 2.Non-Collinear- 3.Coplanar- .

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Presentation transcript:

1.2 Geometry Definitions

Geometry Symbols

1.Collinear- ________________________________ 2.Non-Collinear- ____________________________ 3.Coplanar- ________________________________ 4. Distance- ________________________________ __________________________________________ Definitions -1123

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

9. Bisector- _____________________________________ -____________________________________

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

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

Note: ___________________________________ _________________________________________ 16. Plane- __________________________________ _____________________________________________

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= ? TS O P R

1.If CBD DBE and BD bisects CBE find CAB= ? C ABE D X+5 X+10 60

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

AB D C

F G J H

C B A 1 2 3

1.3 and 1.4 Segment and Angle Addition Postulates

Define First: Definition: _________________________ Postulate: ___________________________________ ___________________________________ Theorem- ___________________________________ ___________________________________

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

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

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

M A T K L 3 2 1

1.5 Postulates &Theorems

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

Postualte 6: _______________________________________ ________________________________________ Postualte 7: ________________________________________ __________________________________________ Postualte 8: _________________________________________ __________________________________________

Postualte 9: _____________________________________ ______________________________________ Theorem 1.1: ______________________________________ _______________________________________ Theorem 1.2: _____________________________________ ______________________________________

Theorem 1.3: ______________________________________ _______________________________________ Theorem 1.4: _______________________________________ ________________________________________

x T S RW y m 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? o

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