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## Geometry Vocab

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**Inductive reasoning**The process of reasoning that a rule or statement is true because specific cases are true**Conjecture**A statement that is believed to be true**Expression**A mathematical phrase that contains operations, numbers, and/or variables**Constant**A value that does not change**Difference**The result of subtraction**Function rule**An algebraic expression that defines a function**Rate of change**A ratio that compares the amount of change in the dependent variable to the amount of change in the independent variable AKA: SLOPE**Variable**A symbol used to represent a quantity that can change**Coefficient**A number multiplied by a variable**Formula**A literal equation that states a rule for a relationship among quantities**Equation**A mathematical sentence that shows two expressions are equivalent**Segment of a line**A part of a line consisting of two end points and all points between them**Midpoint**The point that divides a segment into two congruent segments**Congruent**Having the same size and shape, denoted by *objects and shapes use congruent**Equal**Having the same numeric value *measurements and distances use equal**Bisect**To divide into two congruent parts**Proof**An argument that uses logic to show that a conclusion is true**Postulate**A statement that is accepted as true without proof. Also called an axiom.**Distance**The absolute value of the difference of the coordinates of the points *a measurement, numeric**Length**The distance between the two endpoints of a segment**Construction**A method of creating a figure that is considered to be mathematically precise. Figures may be constructed by using a compass and straightedge, geometry software, or paper folding.**Intersect**To have one or more points in common**Conditional statement**A statement that can be written in the form “if p, then q,” where p is the hypothesis and q is the conclusion.**Hypothesis**The part of a conditional statement following the word if.**Conclusion**The part of a conditional statement following the word then.**Inverse operations**Operations that undo each other**Converse**The statement formed by exchanging the hypothesis and the conclusion of a conditional statement**Contrapositive**The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement**Truth value**A statement can have a truth value of true or false**Biconditional statement**A statement that can be written in the form “p if and only if q.”**Counterexample**An example that proves that a conjecture or statement is false**Negation**The negation of statement p is “not p,” written as .**Logically equivalent statements**Statements that have the same truth value**Deductive reasoning**The process of using logic to draw conclusions**Law of Syllogism**If a, then b. If b, then c. If a, then c. a→b b→c a→c**Point**An undefined term in geometry, it names a location and has no size.**Line**An undefined term in geometry , a line is a straight path that has no thickness and extends forever**Plane**An undefined term in geometry, a flat surface that has no thickness and extends forever**Ray**An undefined term in geometry , a part of a line that starts at an endpoint and extends forever in one direction**Undefined term**A basic figure that is not defined in terms of other figures. *point, line, ray and plane**Endpoint**A point at an end of a segment or the starting point of a ray.**Opposite rays**Two rays that have a common endpoint and form a line**Collinear**Points that lie on the same line**Coplanar**Points that lie in the same plane**Non collinear**Points that do not lie on the same line**Non coplanar**Points that do not lie on the same plane**Vertex**Common point of two rays that form an angle.**measure**Size of an object (an angle or length)**Degrees**What we measure angles in