Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
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
Normal Size Small Size show me how
Reasoning and Proofs
Vocab, Chapter 2, Honors Geometry 1
| Term | Definition |
|---|---|
| Conditional Statement | A statement written in if-then form (p=hypothesis, q=conclusion) |
| Bi-Conditional Statement | The conjunction of the conditional and it's converse (p if and only if q) |
| Law of Detachment | Given a conditional statement, if the hypothesis is true, then the conclusion is true |
| Law of Syllogism | Allows you to draw a conclusion from 2 conditional statements in which the conclusion of the first statement is the hypothesis of the second statement |
| Addition Property | If a=b, then a+c=b+c |
| Subtraction Property | If a=b, then a-c=b-c |
| Multiplication property | If a=b, then a(c)=b(c) |
| Division Property | If a=b, then a/c=b/c |
| Substitution Proterty | IF a=b then a may be replaced by b in an expression or equation |
| Reflexive Property | For any real number a, a=a (A value will always equal itself) |
| Symmetric Property | If a=b, then b=a |
| Transitive Property | If a=b, and b=c, then a=c |
| Reflexive Property of Congruence | For any segment AB, AB≃AB |
| Symmetric Property of congruence | If AB≃CD, then CD≃AB |
| Transitive Property of Congruence | If AB≃CD and CD≃EF, then AB≃EF |
| Definition of Congruence | SEgments are congruent if and only if they have the same measure (AB≃CD, then AB=CD) |
| Definition of Midpoint | If M is the midpoint of AB, then AM=MB |
| Segment Addition Postulate | If A, B, and C are collinear points and B is between A and C, then AB+BC=AC |
| Definition of Congruence | The measures of two angles are equal if and only if the angles are congruent |
| Definition of a Right Angle | And angle measures 90 degrees if and only if it is a right angle |
| Definition of Complementary Angles | Two angles are complementary if and only if the sum or their measures is 90 degrees |
| Definition of Supplementary Angles | Two angles are supplementary if and only if the sum of their measures is 180 degrees |
| Definition of an Angle Bisector | An angle bisector divides and angle into two equal parts |
| Definition of Perpendicular | Perpendicular lines form right angles |
| Angle Addition Postulate | The measures of two adjacent angles add up to the measure of the entire angle |
| Vertical Angles Theorem | If two angles are vertical, then they are congruent |
| Complement Theorem | If two angles form a right angle, then they are complementary |
| Linear Pair Theorem (Supplement Theorem) | If two angles form a linear pair, then they are supplementary |
| Congruent Complements Theorem | If two angles complementary to the same and, then they are congruent (If angle A is complementary to angle B, and angle C is complementary to angle B, then angle A≃angle C) |
| Congruent Supplements Theorem | If two angles supplementary to the same angle, then they are congruent (if angle A is supplementary to angle B, and angle C is supplementary to angle B, then angle A≃angle C |
Created by:
800725
Popular Math sets