Geometry Definitions, Postulates and Theorem Organizer
I.
Basic Terms and Definitions
Write the definition along with a diagram or picture illustrating the following terms.
USE AS MUCH SPACE AS YOU NEED. INCLUDE EXTRA PAGES IF NEEDED.
1. Point
2. Line
3. Plane
7. Bisector
8. Complementary Angles
11. Collinear Points 12. Coordinate
14. Perpendicular Line
17. Linear Pair
4. Angle
5. Vertex
9. Supplimentary Angles
6. Midpoint
10. Rectangle
13. Endpoints
15. Perpendicular Bisector
16. Transversal Line
II.
Parallel Lines, Transversals and Angle Relationships.
Write the theorems or postulates related to the following terms. USE AS MUCH SPACE
AS YOU NEED AND USE DIAGRAMS AND PICTURES TO ILLUSTRATE THE
THEOREM OR POSTULATE. USE EXTRA PAGES IF NEEDED.
1. Vertical Angles
2. Alternate Interior Angles 3. Corresponding angles
4. Alternate Exterior Angles 5. Consecutive Interior Angles
6. Slopes of Parallel and Perpendicular Lines
III.
Triangles
Write the definitions, theorems or postulates related to the following terms. USE AS
MUCH SPACE AS YOU NEED AND USE DIAGRAMS AND PICTURES TO
ILLUSTRATE THE THEOREM OR POSTULATE. USE EXTRA PAGES IF
NEEDED.
1. Equilateral Triangle
2. Isosceles Triangle
3. Right Triangle
4. Exterior Angle Theorem
5. Triangle Sum Theorem
6. Third Angle Theorem
IV.
Triangles Continued.
Write the definitions, theorems or postulates related to the following terms. USE AS
MUCH SPACE AS YOU NEED AND USE DIAGRAMS AND PICTURES TO
ILLUSTRATE THE THEOREM OR POSTULATE. USE EXTRA PAGES IF
NEEDED.
7. SAS
8. ASA
9. AAS
13. Perpendicular Bisector Theorem
10. SSS
11. HL
14. Angle Bisector Theorem
12. CPCTC
V.
Triangles Continued.
Write the definitions, theorems or postulates related to the following terms. USE AS
MUCH SPACE AS YOU NEED AND USE DIAGRAMS AND PICTURES TO
ILLUSTRATE THE THEOREM OR POSTULATE. USE EXTRA PAGES IF
NEEDED.
15. Perpendicular Bisectors of a Triangle
16. Angle Bisectors of a Triangle
17. Medians of a Triangle
18. Altitudes of a Triangle
20. Triangle Inequality
21. Exterior Angle Inequality
19. Midsegment Theorem
22. Hinge Theorem
VI.
Polygons
Write the definitions, theorems or postulates related to the following terms. USE AS
MUCH SPACE AS YOU NEED AND USE DIAGRAMS AND PICTURES TO
ILLUSTRATE THE THEOREM OR POSTULATE. USE EXTRA PAGES IF
NEEDED.
22. Interior Angles of a Quadrilateral
23. Parallelograms-Opposite sides
24. Parallelogrames-Opposite Angles
25. Rhombus
27. Square
28. Trapezoid
29. Kite
26. Rectangle
VII. Formulas
Write the formula for the following terms.
30. Pythagorean Theorem
33. Triangle Area
36. Trapezoid Area
31. Midpoint Formula
34. Rectangle Area
32. Distance Formula
35. Parallelogram Area