Busy. Please wait.
or

show password
Forgot Password?

Don't have an account?  Sign up 
or

Username is available taken
show password

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know
Know
remaining cards
Save
0:01
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
Retries:
restart all cards




share
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Geometry Ch. 2

Geometric Reasoning- vocabulary

TermDefinition
inductive reasoning the process of reasoning that a rule or statement is true because specific cases are true
conjecture a statement believed to be true based on inductive reasoning
counterexample an example that proves a conjecture or statement is false
conditional statement (words) "if p, then q"
hypothesis the part p of a conditional statement following the word 'if'
conclusion the part q of a conditional statement following the word 'then'
conditional statement (symbols) p --> q
negation of p (symbols) ~p
negation of p (words) "not p"
converse (words) the statement formed by exchanging the hypothesis and conclusion
converse (symbols) q --> p
inverse (words) the statement formed by negating the hypothesis and the conclusion
inverse (symbols) ~p --> ~q
contrapositive (words) the statement formed by exchanging AND negating the hypothesis and conclusion
contrapositive (symbols) ~q --> ~p
logically equivalent statements statements that have the same truth value
deductive reasoning the process of using logic to draw conclussions
Law of Detachment if p-->q is true and p is true, then q is true
Law of Syllogism if p-->q and q-->r are true statements, then p-->r is a true statement
biconditional statement a statement that can be in the form "p if and only if q"
definition a statement that describes a mathematical object and can be written as a true biconditional statement.
polygon a closed plane figure formed by three or more segments such that each segment intersects exactly two other segments only at their endpoints and no two segments with a common endpoint are collinear
quadrilateral a four sided polygon
triangle a three sided polygon
proof an argument that uses logic to show that a conclusion is true
Addition Property of Equality If a = b, then a + c = b + c.
Subtraction Property of Equality If a = b, then a - c = b - c.
Multiplication Property of Equality If a = b, then ac = bc.
Division Property of Equality If a = b, then a/c = b/c.
Reflexive Property of Equality a = a
Symmetric Property of Equality If a = b, then b = a.
Transitive Property of Equality If a = b and b = c, then a = c.
Substitution Property of Equality If a = b, then b can be substituted for a in any expression.
Distributive Property a(b + c) = ab + ac
Reflexive Property of Congruence figure A ≅ figure A
Symmetric Property of Congruence If figure A ≅ figure B, then figure B ≅ figure A.
Transitive Property of Congruence If figure A ≅ figure B and figure B ≅ figure C, then figure A ≅ figure C.
theorem a statement that has been proven
two-column proof a style of proof in which the statements are written in the left-hand column and the reasons are written in the right-hand column
flowchart proof a style of proof that uses boxes and arrows to show the structure of the proof
paragraph proof a style of proof in which the statements and reasons are presented in paragraph form
Created by: rivey