Math Vocabulary Chapters 1-3

Front 1

Inductive Reasoning

Back 1

reasoning based on observed patterns

Front 2

Conjecture

Back 2

a conclusion reached by using inductive reasoning

Front 3

Counterexample

Back 3

a particular example of a statement that proves it false

Front 4

Space

Back 4

the set of all points

Front 5

Collinear Points

Back 5

points that lie on the same line

Front 6

Coplanar

Back 6

figures in the same plane

Front 7

Postulate (Axiom)

Back 7

an accepted statement of fact

Front 8

Opposite Rays

Back 8

collinear rays with the same endpoint

Front 9

Congruent Angles

Back 9

angles that have the same measure

Front 10

Adjacent Angles

Back 10

two coplanar angles that have a common side and a common vertex but no common interior points

Front 11

Vertical Angles

Back 11

two angles whose sides form two pairs of opposite rays

Front 12

Complementary Angles

Back 12

when two angles have measures that add up to 90 degrees

Front 13

Supplementary Angles

Back 13

when two angles have measures that add up to 180 degrees

Front 14

Perpendicular Lines

Back 14

lines that intersect to form right angles

Front 15

Angle Bisector

Back 15

a ray that divides an angle into two congruent angles

Front 16

Biconditional

Back 16

the combination of a conditional statement and its converse, contains the words if and only if

Front 17

Conclusion

Back 17

part of an if-then statement, the statement that follows the then

Front 18

Conditional

Back 18

an if-then statement

Front 19

Deductive Reasoning

Back 19

a process of reasoning logically from given facts to a conclusion

Front 20

Hypothesis

Back 20

part of an if-then statement, the statement that follows the if

Front 21

Law of Detachment

Back 21

if a conditional is true and its hypothesis is true, then its conclusion is true

Front 22

Law of Syllogism

Back 22

if p --> q and q --> r are true statements, the p --> r is a true statement

Front 23

Reflexive Property

Back 23

angle A is congruent to angle A

Front 24

Symmetric Property

Back 24

If angle A is congruent to angle B, then angle B is congruent to angle A

Front 25

Transitive Property

Back 25

If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C

Front 26

Theorem

Back 26

a conjecture that is proven

Front 27

Transversal

Back 27

a line that intersects two coplanar lines in two points

Front 28

Postulate 3-1 Corresponding Angles Postulate

Back 28

if a tranversal intersects two parallel lines, then corresponding angles are congruent

Front 29

Theorem 3-1 Alternate Interior Angles Theorem

Back 29

if a tranveral intersects two parallel lines, then alternate interior angles are congruent

Front 30

Theorem 3-2 Same-Side Interior Angles Theorem

Back 30

ff a tranversal intersects two parallel lines, then same-side interior angles are supplementary

Front 31

Theorem 3-3 Alternate Exterior Angles Theorem

Back 31

if a tranversal intersects two prallel lines, then alternate exterior angles are congruent

Front 32

Theorem 3-4 Same-Side Exterior Angles Theorem

Back 32

if a tranversal intersects two prallel lines, then same-side exterior angles are supplementary

Front 33

Postulate 3-2 Converse of the Corresponding Angles Postulate

Back 33

if two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel

Front 34

Theorem 3-5 Converse of the Alternate Interior Angles Theorem

Back 34

if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel

Front 35

Theorem 3-6 Converse of the Same-Side Interior Angles Theorem

Back 35

if two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel

Front 36

Theorem 3-7 Converse of the Alternate Exterior Angles Theorem

Back 36

if two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel

Front 37

Theorem 3-8 Converse of the Same-Side Exterior Angles Theorem

Back 37

if two lines and a transversal form same-side exterior angles that are supplementary, then the two lines are parallel