geometry vocab for midterm

Question 0

conclusion based on inductive reasoning

Answer 0

conjecture

Question 1

reasoning based on observed patterns (specific to general)

Answer 1

inductive reasoning

Question 2

an example which shows that a conjecture is false

Answer 2

counterexample

Question 3

the set of all points

Answer 3

space

Question 4

points that lie on the same plane

Answer 4

coplanar

Question 5

also called an axiom it is a statement accepted without proof

Answer 5

postulate

Question 6

part of a line consisting of 2 endpts and all the pts between them

Answer 6

segment

Question 7

part of a line consisting of one endpoint and all points on the line on one side of the endpoint

Answer 7

ray

Question 8

2 colinear rays with the same endpoint

Answer 8

opposite rays

Question 9

coplanar lines that do not intersect

Answer 9

parallel lines

Question 10

non coplanar lines that do not intersect

Answer 10

skew lines

Question 11

planes that do not intersect

Answer 11

parallel planes

Question 12

distance between A & B

Answer 12

segment length

Question 13

segments with equal lengths

Answer 13

congruent segments

Question 14

a point that divides a segment into 2 congruent segments

Answer 14

midpoint of a segment

Question 15

angles with equal measure

Answer 15

congruent angles

Question 16

2 angles whose sides are opposite rays

Answer 16

vertical angles

Question 17

2 coplanar angles with common side, common vertex, & no common interior points

Answer 17

adjacent angles

Question 18

lines that intersect to form 4 right angles

Answer 18

perpendicular lines

Question 19

a line, segment, ray that is perpendicular to a segment at it’s mdpt, bisecting it into 2 congruent segments

Answer 19

perpendicular bisector

Question 20

a ray that divides a segment into 2 coplanar angles

Answer 20

angle bisector

Question 21

“if then” statement

Answer 21

conditional

Question 22

q –> p

Answer 22

converse

Question 23

p –> q and q –> p

p “if and only if” q

Answer 23

biconditional

Question 24

the process of reasoning logically from given statements to a conclusion

Answer 24

deductive reasoning

Question 25

a statement that is proven

Answer 25

theorem

Question 26

a line that intersects 2 coplanar lines at 2 distinct points

Answer 26

transversal

Question 27

a triangle with 3 congruent angles

Answer 27

equiangular triangle

Question 28

a triangle with 3 congruent sides

Answer 28

equilateral triangle

Question 29

a triangle with atleast 2 congruent sides

Answer 29

isosceles

Question 30

a triangle with no congruent sides

Answer 30

scalene triangle

Question 31

a closed plane figure with at least 3 sides which intersect only at their endpoints

Answer 31

polygon

Question 32

all angles on a polygon are congruent

Answer 32

equiangular polygon

Question 33

all sides on a polygon are congruent

Answer 33

equilateral polygon

Question 34

both equiangular & equilateral polygons

Answer 34

regular polygon

Question 35

half the length of the 3rd side

Answer 35

midsegment