1 2 Geometry Definitions Geometry Symbols Definitions 1

1. 2 Geometry Definitions

Geometry Symbols

Definitions 1. Collinear- ________________ 2. Non-Collinear- ______________ 3. Coplanar- ________________ 4. 4. Distance________________ 5. _____________________ _ -11 23

11. Vertical Angles- ______________________________________ 12. Adjacent Angles: _____________________________________ 1 2 13. Supplementary- ____________ 14. Complementary- ____________ 15. Perpendicular- _______________

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

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

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

D A B C

J F G H

C 1 B 2 3 A

1. 3 and 1. 4 Segment and Angle Addition Postulates

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

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

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

K L 2 3 M A 1 T

1. 5 Postulates &Theorems

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

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

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