Unit 1 Flashcards
(32 cards)
Conjecture
An unproven statement, based on observations
Inductive Reasoning
The process of looking for patterns and making conjectures
Counter Example
An example that shows a conjecture is false
What is the counter example to this conjecture?
For all real numbers X, the expression X^2 is always greater than or equal to X
Counter example:
X=1/2 When X=1/2 X^2=1/2
Point
- No dimension
* Represented by a dot
Line
*extends in 1dimension
Has to have arrows on BOTH sides
Plane
*Extends in 2 dimensions
Line Segment
- Segment or “part” of a line
- A and B are ENDPOINTS
•———-•
A B
____
Written as AB
Ray
*Extends in 1 direction ^ ^ •A •B | / | / | / • C \_\_\_\_> Written as ABC
Intersect
*Intersect if they share common points
^
|
|
•
Collinear Points
*Points on the same line
a b c
Coplanar Points
*Points on the same plane
___________
/ *c /
/ *b /
/ *a / *d <–also coplanar (plane always
/__________/ goes forever)
What are the 2 methods you can use because of the segment addition postulate?
- Pythagorean Theorem
* Distance Formula
Pythagorean Theorem
a^2 + b^2 = c^2
Distance Formula
_________________
d= | (x2-x1)^2 + (y2-y1)^2
Congruent
A segment has a LENGTH and LENGTHS can be EQUAL
If AB=10 and GH=10
then AB=GH
Angle
*Consists of 2 rays that share an initial part
Adjacent Angles
*Share a vertex and a side, but no interior points
Bisect
*Cut into 2 equal parts
~
=
Midpoint formula
x1 + x2 y1 + y2
——— ———-
2 , 2
Complementary Angles
Add up to 90
Supplementary Angles
Add up to 180
What is negation?
The negative of a sentence
What is converse?
Switch the “If” & “Then” parts
