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Geometry Vocab

Geometry Vocab

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Geometry Vocab

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  1. Geometry Vocab

  2. Inductive reasoning The process of reasoning that a rule or statement is true because specific cases are true

  3. Conjecture A statement that is believed to be true

  4. Expression A mathematical phrase that contains operations, numbers, and/or variables

  5. Constant A value that does not change

  6. Difference The result of subtraction

  7. Function rule An algebraic expression that defines a function

  8. 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

  9. Variable A symbol used to represent a quantity that can change

  10. Coefficient A number multiplied by a variable

  11. Formula A literal equation that states a rule for a relationship among quantities

  12. Equation A mathematical sentence that shows two expressions are equivalent

  13. Segment of a line A part of a line consisting of two end points and all points between them

  14. Midpoint The point that divides a segment into two congruent segments

  15. Congruent Having the same size and shape, denoted by *objects and shapes use congruent

  16. Equal Having the same numeric value *measurements and distances use equal

  17. Bisect To divide into two congruent parts

  18. Proof An argument that uses logic to show that a conclusion is true

  19. Postulate A statement that is accepted as true without proof. Also called an axiom.

  20. Distance The absolute value of the difference of the coordinates of the points *a measurement, numeric

  21. Length The distance between the two endpoints of a segment

  22. 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.

  23. Intersect To have one or more points in common

  24. 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.

  25. Hypothesis The part of a conditional statement following the word if.

  26. Conclusion The part of a conditional statement following the word then.

  27. Inverse operations Operations that undo each other

  28. Converse The statement formed by exchanging the hypothesis and the conclusion of a conditional statement

  29. Contrapositive The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement

  30. Truth value A statement can have a truth value of true or false

  31. Biconditional statement A statement that can be written in the form “p if and only if q.”

  32. Counterexample An example that proves that a conjecture or statement is false

  33. Negation The negation of statement p is “not p,” written as .

  34. Logically equivalent statements Statements that have the same truth value

  35. Deductive reasoning The process of using logic to draw conclusions

  36. Law of Syllogism If a, then b. If b, then c. If a, then c. a→b b→c a→c

  37. Point An undefined term in geometry, it names a location and has no size.

  38. Line An undefined term in geometry , a line is a straight path that has no thickness and extends forever

  39. Plane An undefined term in geometry, a flat surface that has no thickness and extends forever

  40. Ray An undefined term in geometry , a part of a line that starts at an endpoint and extends forever in one direction

  41. Undefined term A basic figure that is not defined in terms of other figures. *point, line, ray and plane

  42. Endpoint A point at an end of a segment or the starting point of a ray.

  43. Opposite rays Two rays that have a common endpoint and form a line

  44. Collinear Points that lie on the same line

  45. Coplanar Points that lie in the same plane

  46. Non collinear Points that do not lie on the same line

  47. Non coplanar Points that do not lie on the same plane

  48. Vertex Common point of two rays that form an angle.

  49. measure Size of an object (an angle or length)

  50. Degrees What we measure angles in