Geometry Final

Front 1

point

Back 1

Is a location. It has neither shape nor size. Its named by a capital letter

Front 2

line

Back 2

is made up of points and has no thickness or width. There is exactly one line through any two points. Its named by the letters representing two points on the line or a lowercase script letter.

Front 3

plane

Back 3

is a flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points not one the same line. Its named by a capital script letter or by the letters naming three points that are not all on the same line.

Front 4

Collinear

Back 4

points that lie on the same line

Front 5

Noncollinear

Back 5

points that do not lie on the same line.

Front 6

Coplaner

Back 6

points that lie in the same plane

Front 7

Noncoplaner

Back 7

points that do not lie in the same plane

Front 8

intersection

Back 8

a set of points common to two or more geometric figures.

Front 9

space

Back 9

boundless, three-dimensional sets of all points. Can contain lines and planes.

Front 10

line segment

Back 10

a measureable part of a line that consists of two points, called endpoints, and all of the points between them.

Front 11

congruent segments

Back 11

segments that have the same measure

Front 12

constructions

Back 12

are methods of creating these figures without the benefit of measuring points

Front 13

distance

Back 13

this between two points is the length of the segment with those points as its endpoints

Front 14

irrational number

Back 14

is a number that cannot be expressed as terminating or repeating decimal.

Front 15

midpoint

Back 15

this of a segment is the point halfway between the endpoints of a segment.

Front 16

segment bisector

Back 16

any segment, line, or plane that intersects a segment at its midpoint is called this

Front 17

ray

Back 17

is a part of a line. It has one endpoint and extends indefinitely in one direction. They are named by stating the endpoint first and then any other point on the ray.

Front 18

angle

Back 18

is formed by two noncollinear rays that have a common endpoint.

Front 19

right angle

Back 19

equals 90 degrees

Front 20

acute angle

Back 20

measures less than 90 degrees

Front 21

obtuse angle

Back 21

measures more than 90 but less than 180

Front 22

adjacent angles

Back 22

are two angles that lie in the same plane and have a common vertex and a common side, but no common interior angles

Front 23

linear pair

Back 23

is a pair of adjacent angles with noncommon sides that are opposite rays. The angles in a this are supplementary

Front 24

vertical angles

Back 24

are two nonadjacent angles formed by two intersecting lines. There congruent

Front 25

complementary angles

Back 25

are two angles with measures that have a sum of 90

Front 26

supplementary angles

Back 26

are two angles with measures that have a sum of 180

Front 27

perpendicular

Back 27

lines, segments, or rays that form rays that form right angles are this

Front 28

polygon

Back 28

is a closed figure formed by a finite number of coplanar segments called sides such that
. the sides that have a common endpoint are noncollinear, and
. each side intersects exactly two other sides, but only at their endpoints.
is named by the letters of its vertices, written in order of consecutive vertices

Front 29

equilateral polygon

Back 29

is a polygon in which all sides are congruent

Front 30

equiangular polygon

Back 30

is a polygon in which all angles are congruent

Front 31

regular polygon

Back 31

a convex polygon that is both equilateral and equiangular is called this

Front 32

perimeter

Back 32

this of a polygon is the sum of the lengths of the sides of the polygon.

Front 33

circumference

Back 33

this of a circle is the distance around a circle

Front 34

area

Back 34

this of a figure is the number of square units needed to cover a surface.

Front 35

polyhedron

Back 35

a solid with all flat surfaces that enclose a single region of space. Are named by the shape of their bases.

Front 36

face

Back 36

each flat surface or this is a polygon

Front 37

edges

Back 37

the line segments where the faces intersect are called this

Front 38

vertex

Back 38

the point where three or more edges intersect is called this

Front 39

prism

Back 39

is a polyhedron with two parallel congruent faces called bases connected by parallelogram faces

Front 40

base of a polyhedron

Back 40

the two parallel congruent faces of a polyhedron

Front 41

pyramid

Back 41

is a polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex.

Front 42

cylinder

Back 42

is a solid with congruent parallel circular bases connected by a curved surface. Not a polyhedron

Front 43

cone

Back 43

is a solid with a circular base connected by a curved surface to a single vertex. Not a polyhedron

Front 44

sphere

Back 44

is a set of points in space that are the same distance from a given point. This has no faces, edges, or vertices. Not a polyhedron

Front 45

regular polyhedron

Back 45

all of its faces are regular congruent polygons and all of the edges are congruent

Front 46

surface area

Back 46

is a two dimensional measurement of the surface of a solid figure

Front 47

volume

Back 47

is the measure of the amount of space enclosed by a solid figure

Front 48

inductive reasoning

Back 48

is reasoning that uses a number of specific examples to arrive at a conclusion.

Front 49

conjecture

Back 49

a concluding statement reached using inductive reasoning is called this

Front 50

counterexample

Back 50

an example used to show that a given statement is not always true

Front 51

statement

Back 51

is a sentence that is either true or false

Front 52

compound statement

Back 52

two or more statements joined by the word and or or form this

Front 53

conjuction

Back 53

a compound statement using the word and is called this

Front 54

disjunction

Back 54

a compound statement that uses the word or is called this

Front 55

conditional statement

Back 55

is a statement that can be written in if-then-form

Front 56

if-then-statement

Back 56

ex) if p, then q

Front 57

hypothesis

Back 57

this of a conditional statement is the phrase immediately following the word if

Front 58

conclusion

Back 58

this of a conditional statement is the phrase immediately following the word then

Front 59

related conditionals

Back 59

there are other statements that are based on a given conditional statement these are known as this

Front 60

converse

Back 60

is formed by exchanging the hypothesis and conclusion of the conditional

Front 61

inverse

Back 61

is formed by negating both the hypothesis and conclusion of the conditional

Front 62

contrapositive

Back 62

is formed by negating both the hypothesis and the conclusion of the converse of the conditional

Front 63

logically equivalent

Back 63

statements with the same truth values are said to be this

Front 64

deductive reasoning

Back 64

uses facts, rules, definitions, or properties to reach logical conclusions from given statements

Front 65

valid

Back 65

logically correct

Front 66

law of detachment

Back 66

one valid form of deductive reasoning is this

Front 67

law of syllogism

Back 67

is the second form of deductive reasoning

Front 68

postulate

Back 68

is a statement that is accepted as true without proof

Front 69

SAS

Back 69

side-angle-side