Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
31 Cards in this Set
- Front
- Back
|
Hypothesis |
The "if" part of a conditional statement. If a person is blonde, then they are not smart. |
|
|
Conclusion |
The "then" part of a conditional statement. If a person is blonde, then they are not smart. |
|
|
Conditional |
A type of logical statement that has two parts, a hypothesis and a conclusion. If a person is blonde, then they are not smart. |
|
|
Converse |
If the person is not smart, then they are blonde. |
|
|
Inverse |
The statement formed by negating the hypothesis and conclusion of a conditional statement. If a person is not blonde, then they are smart. |
|
|
Contrapositive |
The equivalent statement formed by exchanging the hypothesis and conclusion of a conditional statement. If a person is smart, then they are not blonde. |
|
|
Biconditional |
A statement that contains the phrase "if and only if". If and only if a person is smart, then they have worked hard. |
|
|
Law of Detachment |
A → B; A happens, therefore B If you miss curfew, then you are grounded. You miss curfew. Therefore, you are grounded. |
|
|
Law of Syllagism |
A → B; B → C; .∙. A → C If you miss curfew, then you will be grounded. If you get grounded, then you will starve. If you miss curfew, you will starve. |
|
|
Postulate 5 |
Through any two points, there exists exactly one line. |
|
|
Postulate 6
|
A line contains at least two points. |
|
|
Postulate 7 |
If two lines intersect, then their intersection is exactly one point. |
|
|
Postulate 8 |
Through any three noncollinear points, there exists exactly one plane. |
|
|
Postulate 9 |
A plane contains at least three noncollinear points. |
|
|
Postulate 10 |
If two points lie in a plane, then the line containing them lies in the plane. |
|
|
Postulate 11 |
If two planes intersect, then their intersection is a line. |
|
|
Addition Property |
If a = b, then a + c = b + c. a = 4, b = 7, c = 2; 4 + 2 = 7 + 2 |
|
|
Subtraction Property |
If a = b, then a - c = b - c. a = 4, b = 7, c = 2; 4 - 2 = 7 - 2 |
|
|
Multiplication Property |
If a = b, then ac = bc. a = 4, b = 7, c = 2; 4(2) = 7(2) |
|
|
Division Property |
If a = b and c ≠ 0, then a/c = b/c. a = 4, b = 7, c = 2; 4/2 = 7/2 |
|
|
Substitution Property |
If a = b, then "a" can be substituted for "b" in any equation or expression. a = 4, b = 7, c = 2; 4 + 2 or 7 + 2 |
|
|
Distributive Property |
a(b + c) = ab + ac, where "a", "b", and "c" are real numbers. a = 4, b = 7, c = 2; 4(7 + 2) = 4(7) + 4(2) |
|
|
Reflective Property of Equality |
For any real number a, a = a; For any segment AB, AB = AB; For any angle A, m<A = m<A 7 = 7; 3(4) = 3(4) |
|
|
Symmetric Property of Equality |
For any real numbers "a" and "b", if a = b, then b = a; For any segments AB and CD, if AB = CD, then CD = AB; For any angles "A" and "B", if m<A = m<B, then m<B = m<A 3 = 4, 4 = 3 |
|
|
Transitive Property of Equality |
For any real numbers "a", "b", and "c", if a = b and b = c, then a = c; For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF; For any angles "A", "B", and "C", if m<A = m<B and m<B = m<C, then m<A = m<C 7 = 3 & 3 = 4, then 7 = 4 |
|
|
Congruence of Segments |
REFLEXIVE: For any segment AB, line AB ~=~ line AB; SYMMETRIC: If line AB ~=~ line CD, then line CD ~=~ line AB; TRANSITIVE: If line AB ~=~ line CD and line CD ~=~ line EF, then line AB ~=~ line EF 4 inches ~=~ 4 inches |
|
|
Congruence of Angles |
REFLEXIVE: For any angle A, <A ~=~ <A; SYMMETRIC: If <A ~=~ <B, then <B ~=~ <A; TRANSITIVE: If <A ~=~ <B and <B ~=~ <C, then <A ~=~ <C 45° ~=~ 45° |
|
|
Right Angles Congruence Theorem |
All right angles are congruent. 90° ~=~ 90° |
|
|
Congruent Supplements Theorem |
If two angles are supplementary to the same angle, then they are congruent. <1 ~=~ <3 |
|
|
Congruent Complements Theorem |
If two angles are complementary to the same angle ( or to congruent angles), then they are congruent. <4 ~=~ <6 |
|
|
Vertical Angles Congruence Theorem |
Vertical angles are congruent. <1 ~=~ <3; <2 ~=~ <4 |
