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# geometry chapter 1

### chaoter 1 only

TermDefinition
point A dot in a specific location with no dimension
line A straight path with no thickness that continues in both directions
plane a flat surface with no thickness and extends forever
line segment portion of a line consisting of 2 points
ray a portion of a line that starts at a point and continues forever in 1 direction
parallel Lines that lie on the same plane but do not intersect
coplaner Points that lie on the same plane
collinear Points that lie on the same line
postulate a statement that is accepted as true without proof
segment addition postulate if B is between A and C then AB+BC = AC
distance formula (x2-x1)2+(y2-y1)2
midpoint The point that divides the line segment into two segments that have the same length
segment bisector A line, ray, or other figure that passes through the midpoint of a segment
angle figure formed by 2 rays with the same endpoint
vertex common end point
rays of angle side of the angle
degrees common measurement for circular arcs
right angle 0<m<A<90
acute angle m<A=90
obtuse angle 90 <m<A<180
straight angle m<A = 180
angle bisector a ray that divided an angle into two angles that both have the same measure
angle addition postulate if S is interior of <PQR then m<PQR=m<PQS + m< SQR
transformation a function that changes the position shape and/or size of a figure
preimage A figure that is used as the input of a transformation
image The output
rigid motion a transformation that changes the position of a figure witnout changing the size or shape of the figure
conjecture a statement that is believed to be true
Inductive reasoning The process of reasoning a rule or statement may be true by looking at specific cases
deductive reasoning the process of using logic to prove whether all cases are true
theorem A statement that you can prove is true using a series of logical steps
counterexample an example that shows a conjecture to be false
conditional statement a statement that can be written in the form "if p then q" where p is hypothesis and q is the conclusion
linear pair A pair of adjacent angles whose non common sides are opposite rays.
addition property if a=b then a + c = b + c
subtraction property if a = b then a - c = b - c
multi property if a = b then ac = bc
division property if a = b and c = 0 then a/c = b/c
Reflexive property a = a
Symmetric property If a = b then b = a
transitive property if a = b and b = c then a = c
substitution property if a = b then b can be substituted for a in any expression
The linear Pair Theorem if two angles form a linear pair then they are supplementary m<3 + m<4 = 180
Created by: user-1713612
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