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Geometry chapter 1

Chapter 1 only

TermDefinition
point a specific location
line a connected straight path
plane a flat surface
line segment a portion of a line consisting of two points and all points between them
ray a portion of a line that starts at a point and continues forever in a direction
parallel lines that lie in the same plane but do not intersect
coplanar points that lie in the same plane
colinear points the lie on the same line
postulate a statement that is accepted true without proof
segment addition postulate AB+BC=AC
distance formula (x2-x1)2+(y2-y1)2
midpoint the point that divides the 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
midpoint formula (x1+x2, y1+y2) 2 2
angle a figure formed by two rays with the same endpoint
vertex the common endpoint
degrees A common measurement unit for circular arcs
acute angle 0<m<A<90
right angle m<A=90
obtuse angle 90<m<A<180
angle bisector a ray that divides an angle into two angles that both have the same measure
Angle Addition Postulate m<PQR=m<PQS+m<SQR
Transformation a function that changes the position, shape, and/or size of a figure
Image the output
Preimage a figure that is used as the input of a transformation
Rigid motion a transformation that changes the position of a figure without changing the size or shape of the figure
Conjecture a statement that is believed to be true
Inductive reasoning the process of reasoning that a rule or statement may be true by looking at the 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
Addition Property of Equality a=b, then a+c=b+c
Subtraction Property of Equality a=b, then a-c=b-c
Multiplication Property of Equality a=b, then ac=bc
Division Property of Equality a=b, then c does not equal 0, then a/c=b/c
Reflexive Property of Equality a=a
Symmetric Property of Equality a=b, then b=a
Transitive Property of Equality a=b, then b=c, then a=c
Substitution Property of Equality a=b, then b can be substituted for a in any expression
Linear Pair Theorem a pair of adjacent angles whose non-common sides are opposite rays
Created by: user-1713623
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