Geometry 1.1.-1.4

Front 1

inductive reasoning

Back 1

type of reasoning which draws general conclusions from specific observations

Front 2

deductive reasoning

Back 2

type of reasoning that moves from a general case to a specific case

Front 3

axioms/postulates

Back 3

general statements that are accepted as a starting point without proof

Front 4

theorems

Back 4

statements proven with postulates and definitions using deductive reasoning

Front 5

If _______, then_________

Back 5

hypothesis and conclusion

Front 6

triangle

Back 6

closed three sided figure

Front 7

vertices

Back 7

points of intersection

Front 8

equilateral triangle

Back 8

triangle with sides of equal length

Front 9

isoceles triangle

Back 9

triangle with at least two equal sides

Front 10

scalene triangle

Back 10

triangle with all sides of different lengths

Front 11

perimeter of a triangle

Back 11

sum of the lengths of its three sides

Front 12

ray

Back 12

portion of a line that begins at some point and continues forever in one direction

Front 13

the endpoints of a line segment are

Back 13

the last two points on it in either direction or just one on a ray

Front 14

congruent

Back 14

if two lines have the same MEASURE

Front 15

POSTULATE:

Two points determine ____________

Back 15

one and only one line

Front 16

angle

Back 16

figure formed by two rays with a common endpoint

Front 17

vertex

Back 17

common endpoint between the two rays that form an angle

Front 18

sides

Back 18

rays of an angle

Front 19

acute angle

Back 19

measure is greater than O degrees but less than 90

Front 20

right angle

Back 20

measure is 90 degrees

Front 21

obtuse angle

Back 21

measure is greater than 90 degrees but less than 180 degrees

Front 22

straight angle

Back 22

measure is 180 degrees

Front 23

complementary angles

Back 23

angles whose sum is 90 degrees, each angle is called the complement of each other

Front 24

supplementary angles

Back 24

angles whose sum is 180 degrees, each angle is called the supplement of the other

Front 25

adjacent angles

Back 25

two angles that have a common vertex and a common side between them

Front 26

right triangle

Back 26

has 1 right angle

Front 27

acute triangle

Back 27

has 3 acute angles

Front 28

obtuse triangle

Back 28

has 1 obtuse angle

Front 29

hypotenuse

Back 29

longest side of a triangle

Front 30

bisect

Back 30

to divide a line segment into two congruent segments, the line that bisects it i called the bisector

Front 31

midpoint

Back 31

point that divides a line segment into two congruent line segments

Front 32

POSTULATE: A point that divides a line segment into two congruent line segments is called the __________ of the line segment

Back 32

midpoin

Front 33

POSTULATE: A line segment can have only ___ midpoint

Back 33

1

Front 34

angle bisector

Back 34

ray that divides an angle into two congruent lines

Front 35

POSTULATE: Every angle has _____ angle bisector and it is ______

Back 35

1, unique

Front 36

perpendicular

Back 36

if two lines meet and form congruent adjacent angles

Front 37

perpendicular bisector

Back 37

line that both bisects a segment and is perpendicular to it

Front 38

POSTULATE: Every line segment has ____ and only ____ perpendicular bisector

Back 38

1, 1

Front 39

altitude of a triangle

Back 39

line segment drawn from one vertex of the triangle perpendicular to the opposite side, or to the extension of the other side

Front 40

median of a triangle

Back 40

line segment drawn from one vertex of the triangle to the midpoint of the opposite side