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Geometry chapter 2 r
geometry stuff
Question | Answer |
---|---|
What is a logical statement that has 2 parts; a hypothesis and a conclusion? p-q | Conditonal statement |
The negation of q- p | contrapositive |
q-p | converse |
negation of p-q | inverse |
statement that uses if and only if. it can only be accurate if the conditional and converse are correct. | Biconditional statement |
if p-q is true, and if p is true, then q is true. | Law of Detachment |
If p-q is true, and if q-r is true, then p-r is true. | Law of Syllogism |
Intersecting lines that form a right angle | Perpendicular |
If a=b, then a+c=b+c | Addition property of equality |
If a=b, then a divided by c = b divided by c | Division property of equality |
For any real #, a=a | Reflexive property of equality |
If a=b, then b can always replace a | Substitution property of equality |
A=B, then B=A | Symmetric Property of equality |
If a=b, and b=c, then a=c | Transitive property of equality |
When you refer to a property of ______, you must include angle or segment | congruence |
When writing an indirect proof, you start by _______ the __________ | Assuming opposite |
True statement that follows as a result of other true statements | Theorem |
If two angles are complementaryto the same angle, than the 2 angles are congruent | Congruent complements thearem |
If two angles are supplementary to the same angle, then the other 2 angles are congruent | Congruent supplements theorem |
If two angles form a linear pair, then they are supplementary | Linear Pair postulate |
All right angles are congruent | Right angle congruence theorem |
Vertical angles are congruent | Vertical angle congruence theorem |
Two statements that are both true or both false | Equivalent statements |
You can justify a proof by putting | theorem, postulate, property, definition or given |