# Geometry

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 Author: ECCammi ID: 192843 Filename: Geometry Updated: 2013-01-14 19:44:29 Tags: Math Notes final Folders: Description: Final geometry math notes Show Answers:

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1. Collinear Points
2 points that make up a line
2. Plane
Flat surface with no thickness
3. Line segment
Segment of a line with an end point
4. Opposite rays
Form a line while sharing a point
5. Skew lines
Non-coplanar, never intersecting lines
6. Congruent segments
2 segments with the same length
7. Perpendicular bisector
Line, segment or ray that is perpendicular to the segment at the midpoint
8. Angle bisector
A ray that divides an angle into two congruent coplanar angles
9. Complementary angles
10. Supplementary angles
2 angles next to each other that share a side
12. Vertical angles
• formed by 2 lines intersecting
• They are congruent
13. point slope form
14. Conjectures
Logical conclusions based on reasoning
15. Counterexamples
One example to show a conjecture is false
16. Conditional statements
• if-then statements
• p-> q
17. Hypothesis
• The part that follows the if
• p
18. Conclusion
• Part that follows the "then"
• q
19. Converse
• Reverse of the conditional
• q->p
20. Biconditional
• conditional and converse are true
• p<->q
21. Deductive reasoning
Process of reasoning logically from given statements to reach a conclusion
22. Detachment
• If the conditional is T; + hypothesis is T then conclusion is T
• p->q is T, p-> T, then q->T
23. Syllogism
2 conditionals if conclusion of one being the hypothesis of next
24. Addtional equality property
if a=b then a+c=b+c
25. Equality property of Subtraction
if a=b then a-c=b-c
26. Equality property of Multiplication
if a=b then ac=bc
27. Equality property of divsion
if a=b then a/c=b/c
28. Reflexive equality property
a=a
29. Symmetric property of equality
if a=b then b=a
30. Transitive property of equality
a=b then b can replace a anywhere
31. Distributive property of equality
if a(b+c) =ab+ac
32. SSI Same side interior angles (between parallels)
Are congruent angles
33. Transversal line
Crosses both lines
34. AIA alternate interior angles
Are congruent
35. Therom 3-10
if 2 lines are perpendicular to the same line then they are parallel to each other
36. Equilateral triangle
Three sides are equal
37. Isosceles
Two sides are equal length
38. Scalene
All sides are different length
39. Polygon
A closed plane
40. Total degrees in a polygon
(n-2)180
41. Slope intercept form
y=mx+b
42. standard form
ax+by=c
43. point slope form
y-y1=m(x1-x2)
44. SAS side-angle-side
Same side, angle and another side
45. SSS Side side side
three side are all congruent
46. AAA
Doesn't work
47. ASA
Equal angle, side and another angle
48. SAA/AAS
Side Angle Angle
49. H-L therom
• 1. 2 right angles
• 2. Triangles have congruent hypotenuses
• 3. A pair of congruent legs
• SSA works here
50. Hypotenuse
Side opposite of the right anle/vertex
51. CPCTC
Corresponding pars of congruent triangles are congruent
52. Triangle midsegment theorem
midsegment parallel = 2(midsegment)
53. Theorem 5-2
If a point is the perp. bisector of a segment then it is equidistant from the endpoints of the segment
54. Theorem 5-3
If a point is equidistant from both endpoints then it must be on the perp. bisector
55. Locus
Set of all points that meet a condition
56. Theorem 5-4
If a point is on the bisector of an angle then it is equidistant to each side of angles
57. Theorem 5-5
Th. 5-4 converse

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