Geometry Chapter 1 & 2

Front 1

Collinear points

Back 1

are points that lie on the same line

Front 2

Noncollineor points

Back 2

are points that do not lie on the same line.

Front 3

line segment

Back 3

of is a part of a line consisting of two points, called end points, and the set of all points between them.

Front 4

Congruent line segments

Back 4

are line segments that have equal lengths.

Front 5

Betweenness of Points:

Back 5

If F, G, and H are collinear, and if FG + GH = FH,then G
is between F and H.

Front 6

ray

Back 6

of is a part of a line consisting of a given point, called the end point, and the
set of all points on one side of the end point.

Front 7

angle

Back 7

is the union of two rays having the same end point. The end point is called the vertex of the angle: the rays are called the sides of the triangle.

Front 8

Congruent angles

Back 8

are angles that have equal measures

Front 9

Betweenness of Rays:

Back 9

PS is between PQ ond PR , if point S lies in the interior
of <QPR ond m <SPR + m<QPS = m<QPR.

Front 10

right angle

Back 10

is an angle with a measure of 90 degrees.

Front 11

acute angle

Back 11

is on angle with a measure of less than 90 degrees.

Front 12

obtuse angle

Back 12

is an angle with a measure of greater than 90 degrees.

Front 13

midpoint of line segment

Back 13

is the point that divides the line segment into two congruent line segements.

Front 14

Segment Bisector

Back 14

A bisector of AB line segment is any line, ray or line segment which passes through the midpoint of AB line segment

Front 15

Angle Bisector

Back 15

OR ray is the bisector of <PON if R lies in the interior of <PON and m<POR = m<RON.

Front 16

Postulate 1

Back 16

Two points determrne a unique straight line.

Front 17

Postulate 2

Back 17

Three noncollinear points determine a unique plane.

Front 18

Postulate 3

Back 18

Ruler postulate: a) to every point on a line, there corresponds exactly one real number called its coordinate. b) To every real number, there corresponds exactly one point of the line. c) To every pair of points there corresonds exactly one real number called the distance between the points. d) and the distance between two points is the absolute value of the difference between their coordinates.

Front 19

Postulate 4

Back 19

(a) The rays in a half rotation (18O degrees) can be
numbered so that to every ray there corresponds exactly one real number colled its coordinate. (b) And to every real number from 0 to 180, there corresponds
exactly one ray. (c) To every pair of rays there corresponds exactly one real number called the measure of the angle that they determine. (d) And the measure of the angle is the obsolute value of the difference between the
coordinates of its rays.

Front 20

Addition Property

Back 20

If equals are added to equals, the results are equal.

Front 21

Subtraction Property

Back 21

If equals are subtracted from equals, the results are equal

Front 22

Multiplication Property

Back 22

If equals are multiplied by equals, their products are equal

Front 23

Division Property

Back 23

If equals are divided by nonzero equals, their quotients are equal

Front 24

Subsitition Property

Back 24

If a=b, then either a or b may be substituted for the other in any equation

Front 25

Transitive Property

Back 25

If two quantities are equal to the same quanity, then they are equal to each other

Front 26

Reflexive Property

Back 26

Any quantitiy is equal to itself

Front 27

Symmetric Property

Back 27

The positions of the expressions on either side of an equals sign may be reversed

Front 28

Inductive Reasoning

Back 28

We look at several examples of something and find a fact that holds true for those examples. Then we conclude that the fact is true for all other possible examples.

Front 29

Deductive Reasoning

Back 29

We start with an accurate assupmtion and then as long as we've reasoned correctly our conclusion has to be true. Conditional Statements with "If" premise and "Then" conclusion

Front 30

Postulates

Back 30

premises that are "self-evident truths"

Front 31

Direct Proofs

Back 31

Logic chain made up of several "If-Then" statements and starts with a true postulate.

Front 32

Theorem

Back 32

Final conclusion which is just the end result of an arguement that has been provedn with deductive reasoning

Front 33

Congruent Figures

Back 33

figures that have the same size and shape

Front 34

Similar Figures

Back 34

figures that have the same shape but are different sizes

Front 35

Equivalent Figures

Back 35

figures that have the same area

Front 36

Point

Back 36

no length, width or depth; point in space; Use Capital Letter

Front 37

LIne

Back 37

set of points that extend indefinitely in either direction. Has length, no width or depth. Use the letters of the line or lowercase letter by the line symbol

Front 38

Plane

Back 38

Set of points that forms a flat surface which extends forever in all directions. Has lenth and width but no depth. Use single Captial letter.

Front 39

Collinear Points

Back 39

points that lie on the same line

Front 40

Noncollinear Points

Back 40

points that do not lie on the same line

Front 41

Direct Proofs

Back 41

Logic chain made up of several "If-Then" statements and starts with a true postulate.

Front 42

Theorem

Back 42

Final conclusion which is just the end result of an arguement that has been provedn with deductive reasoning

Front 43

Congruent Figures

Back 43

figures that are the same shape and size

Front 44

Similar Figures

Back 44

figures that have the same shape but are different sizes

Front 45

Equivalent Figures

Back 45

figures that have the same area