Term
If-Then Statements
aka
Conditional Statements "Conditionals" |
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Definition
*If p, then q
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p =hypothesis
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q=conclusion
Other Forms of a Conditional Statement:
If p implies q
p only if q
q if p
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Term
| Converse of a Conditional Form |
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Definition
formed by swaping the hypothesis and conclusion
Ex.
Conditional: If p, then q
Converse: If q, then p |
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Term
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Definition
| Is the statement true or false? |
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Term
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Definition
An example for which the hypothesis is true and the conclusion is false
*try to give a counterexample if you think the conditional is false |
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Term
Biconditional Statement
*iff |
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Definition
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Term
| Addition Property of Equality |
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Definition
| If a=b and c=d, then a+c=b+d |
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| Subtraction Property of Equality |
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Definition
| If a=b and c=d, then a-c=b-d |
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| Multiplication Property of Equality |
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Definition
| If a=b and c=d, then ca=cb |
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| Division Property of Equality |
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Definition
| If a=b and c≠0, then a/c=b/c |
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| Substitution Property of Equality |
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Definition
| If a=b, then either a or b may be substituted for the other in any equation (or inequality) |
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| Reflexive Property of Equality |
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Definition
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| Symmetric Property of Equality |
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Definition
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| Transitive Property of Equality |
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Definition
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Term
Midpoint Theorem
If M is the midpoint of AB, then
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Definition
then AM=1/2AB and MB=1/2AB
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Term
Angle Bisector Theorem
If (ray) BX is the bisector of |
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Definition
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Term
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Definition
| 2 angles whose sum is 90° |
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Definition
| two angles whose sum is 180° |
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Definition
| two angles that the sides of one angle are opposite rays to sides of the other angle |
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Term
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Definition
| vertical angles are congruent |
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Term
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Definition
| Two lines that intersect to form right angles |
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Term
Theorem
If two lines are perpendicular, then they form... |
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Definition
Theorem
...congruent adjacent angles |
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Term
Theorem
If two lines form congruent adjacent angles, then... |
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Definition
Theorem
...then the lines are perpendicular |
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Term
Theorem
If the exterior sides of two adjacent angles are perpendicular, then... |
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Definition
Theorem
...then the angles are complementary |
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Term
Theorem
If two angles are supplements of congruent angles(or the same angle), then... |
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Definition
Theorem
...then the two angles are congruent |
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Term
Theorem
If two angles are complements of congruent angles (or the same angle), then... |
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Definition
Theorem
...then the two angles are congruent |
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